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Finding the Third Proportional to 567,664 and 853,864

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Solution

The third proportional to 567,664 and 853,864 is: 1,284,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,664 : 853,864 = 853,864 : x
  2. Step 2: Convert to fraction form
    567,664/853,864 = 853,864/x
  3. Step 3: Cross multiply
    567,664x = 853,864 × 853,864
  4. Step 4: Simplify right side
    567,664x = 729,083,730,496
  5. Step 5: Solve for x
    x = 729,083,730,496/567,664
  6. Step 6: Final answer
    x = 1,284,357.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.