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Finding the Third Proportional to 552,738 and 853,539

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Solution

The third proportional to 552,738 and 853,539 is: 1,318,036.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,738 : 853,539 = 853,539 : x
  2. Step 2: Convert to fraction form
    552,738/853,539 = 853,539/x
  3. Step 3: Cross multiply
    552,738x = 853,539 × 853,539
  4. Step 4: Simplify right side
    552,738x = 728,528,824,521
  5. Step 5: Solve for x
    x = 728,528,824,521/552,738
  6. Step 6: Final answer
    x = 1,318,036.44

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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.