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Finding the Third Proportional to 552,740 and 853,542

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Solution

The third proportional to 552,740 and 853,542 is: 1,318,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,740 : 853,542 = 853,542 : x
  2. Step 2: Convert to fraction form
    552,740/853,542 = 853,542/x
  3. Step 3: Cross multiply
    552,740x = 853,542 × 853,542
  4. Step 4: Simplify right side
    552,740x = 728,533,945,764
  5. Step 5: Solve for x
    x = 728,533,945,764/552,740
  6. Step 6: Final answer
    x = 1,318,040.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.