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Finding the Third Proportional to 552,692 and 853,462

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Solution

The third proportional to 552,692 and 853,462 is: 1,317,908.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,692 : 853,462 = 853,462 : x
  2. Step 2: Convert to fraction form
    552,692/853,462 = 853,462/x
  3. Step 3: Cross multiply
    552,692x = 853,462 × 853,462
  4. Step 4: Simplify right side
    552,692x = 728,397,385,444
  5. Step 5: Solve for x
    x = 728,397,385,444/552,692
  6. Step 6: Final answer
    x = 1,317,908.32

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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.