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Finding the Third Proportional to 303,941,232 and 716,777,856

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Solution

The third proportional to 303,941,232 and 716,777,856 is: 1,690,361,296.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,941,232 : 716,777,856 = 716,777,856 : x
  2. Step 2: Convert to fraction form
    303,941,232/716,777,856 = 716,777,856/x
  3. Step 3: Cross multiply
    303,941,232x = 716,777,856 × 716,777,856
  4. Step 4: Simplify right side
    303,941,232x = 513,770,494,851,956,736
  5. Step 5: Solve for x
    x = 513,770,494,851,956,736/303,941,232
  6. Step 6: Final answer
    x = 1,690,361,296.07

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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.