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Finding the Third Proportional to 252,687 and 544,737

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Solution

The third proportional to 252,687 and 544,737 is: 1,174,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,687 : 544,737 = 544,737 : x
  2. Step 2: Convert to fraction form
    252,687/544,737 = 544,737/x
  3. Step 3: Cross multiply
    252,687x = 544,737 × 544,737
  4. Step 4: Simplify right side
    252,687x = 296,738,399,169
  5. Step 5: Solve for x
    x = 296,738,399,169/252,687
  6. Step 6: Final answer
    x = 1,174,331.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.