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Finding the Third Proportional to 374,493 and 801,474

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Solution

The third proportional to 374,493 and 801,474 is: 1,715,280.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,493 : 801,474 = 801,474 : x
  2. Step 2: Convert to fraction form
    374,493/801,474 = 801,474/x
  3. Step 3: Cross multiply
    374,493x = 801,474 × 801,474
  4. Step 4: Simplify right side
    374,493x = 642,360,572,676
  5. Step 5: Solve for x
    x = 642,360,572,676/374,493
  6. Step 6: Final answer
    x = 1,715,280.59

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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.