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Finding the Third Proportional to 234,019 and 456,374

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Solution

The third proportional to 234,019 and 456,374 is: 890,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,019 : 456,374 = 456,374 : x
  2. Step 2: Convert to fraction form
    234,019/456,374 = 456,374/x
  3. Step 3: Cross multiply
    234,019x = 456,374 × 456,374
  4. Step 4: Simplify right side
    234,019x = 208,277,227,876
  5. Step 5: Solve for x
    x = 208,277,227,876/234,019
  6. Step 6: Final answer
    x = 890,001.36

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.