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Finding the Third Proportional to 248,849 and 377,882

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Solution

The third proportional to 248,849 and 377,882 is: 573,821.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,849 : 377,882 = 377,882 : x
  2. Step 2: Convert to fraction form
    248,849/377,882 = 377,882/x
  3. Step 3: Cross multiply
    248,849x = 377,882 × 377,882
  4. Step 4: Simplify right side
    248,849x = 142,794,805,924
  5. Step 5: Solve for x
    x = 142,794,805,924/248,849
  6. Step 6: Final answer
    x = 573,821.10

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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.