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Finding the Third Proportional to 516,471.19 and 726,013.13

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Solution

The third proportional to 516,471.19 and 726,013.13 is: 1,020,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,471.19 : 726,013.13 = 726,013.13 : x
  2. Step 2: Convert to fraction form
    516,471.19/726,013.13 = 726,013.13/x
  3. Step 3: Cross multiply
    516,471.19x = 726,013.13 × 726,013.13
  4. Step 4: Simplify right side
    516,471.19x = 527,095,057,672.27
  5. Step 5: Solve for x
    x = 527,095,057,672.27/516,471.19
  6. Step 6: Final answer
    x = 1,020,570.11

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.