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Finding the Third Proportional to 252,304 and 379,509

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Solution

The third proportional to 252,304 and 379,509 is: 570,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,304 : 379,509 = 379,509 : x
  2. Step 2: Convert to fraction form
    252,304/379,509 = 379,509/x
  3. Step 3: Cross multiply
    252,304x = 379,509 × 379,509
  4. Step 4: Simplify right side
    252,304x = 144,027,081,081
  5. Step 5: Solve for x
    x = 144,027,081,081/252,304
  6. Step 6: Final answer
    x = 570,847.39

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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.