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Finding the Third Proportional to 252,562.75 and 392,125.25

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Solution

The third proportional to 252,562.75 and 392,125.25 is: 608,807.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,562.75 : 392,125.25 = 392,125.25 : x
  2. Step 2: Convert to fraction form
    252,562.75/392,125.25 = 392,125.25/x
  3. Step 3: Cross multiply
    252,562.75x = 392,125.25 × 392,125.25
  4. Step 4: Simplify right side
    252,562.75x = 153,762,211,687.56
  5. Step 5: Solve for x
    x = 153,762,211,687.56/252,562.75
  6. Step 6: Final answer
    x = 608,807.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.