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Finding the Third Proportional to 379,304 and 814,850

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Solution

The third proportional to 379,304 and 814,850 is: 1,750,523.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,304 : 814,850 = 814,850 : x
  2. Step 2: Convert to fraction form
    379,304/814,850 = 814,850/x
  3. Step 3: Cross multiply
    379,304x = 814,850 × 814,850
  4. Step 4: Simplify right side
    379,304x = 663,980,522,500
  5. Step 5: Solve for x
    x = 663,980,522,500/379,304
  6. Step 6: Final answer
    x = 1,750,523.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.