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Finding the Third Proportional to 424,471.13 and 642,175.13

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Solution

The third proportional to 424,471.13 and 642,175.13 is: 971,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,471.13 : 642,175.13 = 642,175.13 : x
  2. Step 2: Convert to fraction form
    424,471.13/642,175.13 = 642,175.13/x
  3. Step 3: Cross multiply
    424,471.13x = 642,175.13 × 642,175.13
  4. Step 4: Simplify right side
    424,471.13x = 412,388,891,168.77
  5. Step 5: Solve for x
    x = 412,388,891,168.77/424,471.13
  6. Step 6: Final answer
    x = 971,535.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.