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Finding the Third Proportional to 252,114 and 542,459

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Solution

The third proportional to 252,114 and 542,459 is: 1,167,177.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,114 : 542,459 = 542,459 : x
  2. Step 2: Convert to fraction form
    252,114/542,459 = 542,459/x
  3. Step 3: Cross multiply
    252,114x = 542,459 × 542,459
  4. Step 4: Simplify right side
    252,114x = 294,261,766,681
  5. Step 5: Solve for x
    x = 294,261,766,681/252,114
  6. Step 6: Final answer
    x = 1,167,177.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.