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Finding the Third Proportional to 566,978 and 853,029

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Solution

The third proportional to 566,978 and 853,029 is: 1,283,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,978 : 853,029 = 853,029 : x
  2. Step 2: Convert to fraction form
    566,978/853,029 = 853,029/x
  3. Step 3: Cross multiply
    566,978x = 853,029 × 853,029
  4. Step 4: Simplify right side
    566,978x = 727,658,474,841
  5. Step 5: Solve for x
    x = 727,658,474,841/566,978
  6. Step 6: Final answer
    x = 1,283,398.08

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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.