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Finding the Third Proportional to 374,474 and 801,436

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Solution

The third proportional to 374,474 and 801,436 is: 1,715,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,474 : 801,436 = 801,436 : x
  2. Step 2: Convert to fraction form
    374,474/801,436 = 801,436/x
  3. Step 3: Cross multiply
    374,474x = 801,436 × 801,436
  4. Step 4: Simplify right side
    374,474x = 642,299,662,096
  5. Step 5: Solve for x
    x = 642,299,662,096/374,474
  6. Step 6: Final answer
    x = 1,715,204.96

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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.