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Finding the Third Proportional to 581,744 and 853,464

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Solution

The third proportional to 581,744 and 853,464 is: 1,252,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,744 : 853,464 = 853,464 : x
  2. Step 2: Convert to fraction form
    581,744/853,464 = 853,464/x
  3. Step 3: Cross multiply
    581,744x = 853,464 × 853,464
  4. Step 4: Simplify right side
    581,744x = 728,400,799,296
  5. Step 5: Solve for x
    x = 728,400,799,296/581,744
  6. Step 6: Final answer
    x = 1,252,098.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.