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Finding the Third Proportional to 303,941,232.50 and 716,777,857.25

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Solution

The third proportional to 303,941,232.50 and 716,777,857.25 is: 1,690,361,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,941,232.50 : 716,777,857.25 = 716,777,857.25 : x
  2. Step 2: Convert to fraction form
    303,941,232.50/716,777,857.25 = 716,777,857.25/x
  3. Step 3: Cross multiply
    303,941,232.50x = 716,777,857.25 × 716,777,857.25
  4. Step 4: Simplify right side
    303,941,232.50x = 513,770,496,643,901,376
  5. Step 5: Solve for x
    x = 513,770,496,643,901,376/303,941,232.50
  6. Step 6: Final answer
    x = 1,690,361,299.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.