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Finding the Third Proportional to 376,068 and 804,624

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Solution

The third proportional to 376,068 and 804,624 is: 1,721,549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,068 : 804,624 = 804,624 : x
  2. Step 2: Convert to fraction form
    376,068/804,624 = 804,624/x
  3. Step 3: Cross multiply
    376,068x = 804,624 × 804,624
  4. Step 4: Simplify right side
    376,068x = 647,419,781,376
  5. Step 5: Solve for x
    x = 647,419,781,376/376,068
  6. Step 6: Final answer
    x = 1,721,549.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.