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Finding the Third Proportional to 532,583 and 749,110

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Solution

The third proportional to 532,583 and 749,110 is: 1,053,668.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,583 : 749,110 = 749,110 : x
  2. Step 2: Convert to fraction form
    532,583/749,110 = 749,110/x
  3. Step 3: Cross multiply
    532,583x = 749,110 × 749,110
  4. Step 4: Simplify right side
    532,583x = 561,165,792,100
  5. Step 5: Solve for x
    x = 561,165,792,100/532,583
  6. Step 6: Final answer
    x = 1,053,668.24

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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.