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Finding the Third Proportional to 571,107 and 853,788

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Solution

The third proportional to 571,107 and 853,788 is: 1,276,387.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,107 : 853,788 = 853,788 : x
  2. Step 2: Convert to fraction form
    571,107/853,788 = 853,788/x
  3. Step 3: Cross multiply
    571,107x = 853,788 × 853,788
  4. Step 4: Simplify right side
    571,107x = 728,953,948,944
  5. Step 5: Solve for x
    x = 728,953,948,944/571,107
  6. Step 6: Final answer
    x = 1,276,387.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.