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Finding the Third Proportional to 252,654.19 and 547,801.31

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Solution

The third proportional to 252,654.19 and 547,801.31 is: 1,187,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,654.19 : 547,801.31 = 547,801.31 : x
  2. Step 2: Convert to fraction form
    252,654.19/547,801.31 = 547,801.31/x
  3. Step 3: Cross multiply
    252,654.19x = 547,801.31 × 547,801.31
  4. Step 4: Simplify right side
    252,654.19x = 300,086,277,976.72
  5. Step 5: Solve for x
    x = 300,086,277,976.72/252,654.19
  6. Step 6: Final answer
    x = 1,187,735.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.