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Finding the Third Proportional to 248,842 and 377,872

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Solution

The third proportional to 248,842 and 377,872 is: 573,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,842 : 377,872 = 377,872 : x
  2. Step 2: Convert to fraction form
    248,842/377,872 = 377,872/x
  3. Step 3: Cross multiply
    248,842x = 377,872 × 377,872
  4. Step 4: Simplify right side
    248,842x = 142,787,248,384
  5. Step 5: Solve for x
    x = 142,787,248,384/248,842
  6. Step 6: Final answer
    x = 573,806.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.