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Finding the Third Proportional to 252,375.75 and 387,915.75

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Solution

The third proportional to 252,375.75 and 387,915.75 is: 596,248.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,375.75 : 387,915.75 = 387,915.75 : x
  2. Step 2: Convert to fraction form
    252,375.75/387,915.75 = 387,915.75/x
  3. Step 3: Cross multiply
    252,375.75x = 387,915.75 × 387,915.75
  4. Step 4: Simplify right side
    252,375.75x = 150,478,629,098.06
  5. Step 5: Solve for x
    x = 150,478,629,098.06/252,375.75
  6. Step 6: Final answer
    x = 596,248.37

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.