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Finding the Third Proportional to 303,934.50 and 703,612.13

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Solution

The third proportional to 303,934.50 and 703,612.13 is: 1,628,870.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,934.50 : 703,612.13 = 703,612.13 : x
  2. Step 2: Convert to fraction form
    303,934.50/703,612.13 = 703,612.13/x
  3. Step 3: Cross multiply
    303,934.50x = 703,612.13 × 703,612.13
  4. Step 4: Simplify right side
    303,934.50x = 495,070,022,447.02
  5. Step 5: Solve for x
    x = 495,070,022,447.02/303,934.50
  6. Step 6: Final answer
    x = 1,628,870.77

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.