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Finding the Third Proportional to 252,496 and 379,396

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Solution

The third proportional to 252,496 and 379,396 is: 570,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,496 : 379,396 = 379,396 : x
  2. Step 2: Convert to fraction form
    252,496/379,396 = 379,396/x
  3. Step 3: Cross multiply
    252,496x = 379,396 × 379,396
  4. Step 4: Simplify right side
    252,496x = 143,941,324,816
  5. Step 5: Solve for x
    x = 143,941,324,816/252,496
  6. Step 6: Final answer
    x = 570,073.68

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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.