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Finding the Third Proportional to 424,531.13 and 576,855

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Solution

The third proportional to 424,531.13 and 576,855 is: 783,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,531.13 : 576,855 = 576,855 : x
  2. Step 2: Convert to fraction form
    424,531.13/576,855 = 576,855/x
  3. Step 3: Cross multiply
    424,531.13x = 576,855 × 576,855
  4. Step 4: Simplify right side
    424,531.13x = 332,761,691,025
  5. Step 5: Solve for x
    x = 332,761,691,025/424,531.13
  6. Step 6: Final answer
    x = 783,833.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.