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Finding the Third Proportional to 252,537.75 and 542,041.88

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Solution

The third proportional to 252,537.75 and 542,041.88 is: 1,163,427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,537.75 : 542,041.88 = 542,041.88 : x
  2. Step 2: Convert to fraction form
    252,537.75/542,041.88 = 542,041.88/x
  3. Step 3: Cross multiply
    252,537.75x = 542,041.88 × 542,041.88
  4. Step 4: Simplify right side
    252,537.75x = 293,809,394,253.52
  5. Step 5: Solve for x
    x = 293,809,394,253.52/252,537.75
  6. Step 6: Final answer
    x = 1,163,427.62

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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.