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Finding the Third Proportional to 376,049 and 804,585

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Solution

The third proportional to 376,049 and 804,585 is: 1,721,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,049 : 804,585 = 804,585 : x
  2. Step 2: Convert to fraction form
    376,049/804,585 = 804,585/x
  3. Step 3: Cross multiply
    376,049x = 804,585 × 804,585
  4. Step 4: Simplify right side
    376,049x = 647,357,022,225
  5. Step 5: Solve for x
    x = 647,357,022,225/376,049
  6. Step 6: Final answer
    x = 1,721,469.87

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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.