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Finding the Third Proportional to 252,259 and 379,448

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Solution

The third proportional to 252,259 and 379,448 is: 570,765.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,259 : 379,448 = 379,448 : x
  2. Step 2: Convert to fraction form
    252,259/379,448 = 379,448/x
  3. Step 3: Cross multiply
    252,259x = 379,448 × 379,448
  4. Step 4: Simplify right side
    252,259x = 143,980,784,704
  5. Step 5: Solve for x
    x = 143,980,784,704/252,259
  6. Step 6: Final answer
    x = 570,765.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.