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Finding the Third Proportional to 252,180 and 542,592

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Solution

The third proportional to 252,180 and 542,592 is: 1,167,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,180 : 542,592 = 542,592 : x
  2. Step 2: Convert to fraction form
    252,180/542,592 = 542,592/x
  3. Step 3: Cross multiply
    252,180x = 542,592 × 542,592
  4. Step 4: Simplify right side
    252,180x = 294,406,078,464
  5. Step 5: Solve for x
    x = 294,406,078,464/252,180
  6. Step 6: Final answer
    x = 1,167,444.20

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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.