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Finding the Third Proportional to 252,575.25 and 542,517.75

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Solution

The third proportional to 252,575.25 and 542,517.75 is: 1,165,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,575.25 : 542,517.75 = 542,517.75 : x
  2. Step 2: Convert to fraction form
    252,575.25/542,517.75 = 542,517.75/x
  3. Step 3: Cross multiply
    252,575.25x = 542,517.75 × 542,517.75
  4. Step 4: Simplify right side
    252,575.25x = 294,325,509,065.06
  5. Step 5: Solve for x
    x = 294,325,509,065.06/252,575.25
  6. Step 6: Final answer
    x = 1,165,298.30

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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.