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Finding the Third Proportional to 581,766 and 853,497

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Solution

The third proportional to 581,766 and 853,497 is: 1,252,147.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,766 : 853,497 = 853,497 : x
  2. Step 2: Convert to fraction form
    581,766/853,497 = 853,497/x
  3. Step 3: Cross multiply
    581,766x = 853,497 × 853,497
  4. Step 4: Simplify right side
    581,766x = 728,457,129,009
  5. Step 5: Solve for x
    x = 728,457,129,009/581,766
  6. Step 6: Final answer
    x = 1,252,147.99

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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.