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Finding the Third Proportional to 376,418 and 804,580

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Solution

The third proportional to 376,418 and 804,580 is: 1,719,760.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,418 : 804,580 = 804,580 : x
  2. Step 2: Convert to fraction form
    376,418/804,580 = 804,580/x
  3. Step 3: Cross multiply
    376,418x = 804,580 × 804,580
  4. Step 4: Simplify right side
    376,418x = 647,348,976,400
  5. Step 5: Solve for x
    x = 647,348,976,400/376,418
  6. Step 6: Final answer
    x = 1,719,760.95

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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.