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Finding the Third Proportional to 230,769 and 477,414

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Solution

The third proportional to 230,769 and 477,414 is: 987,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,769 : 477,414 = 477,414 : x
  2. Step 2: Convert to fraction form
    230,769/477,414 = 477,414/x
  3. Step 3: Cross multiply
    230,769x = 477,414 × 477,414
  4. Step 4: Simplify right side
    230,769x = 227,924,127,396
  5. Step 5: Solve for x
    x = 227,924,127,396/230,769
  6. Step 6: Final answer
    x = 987,672.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.