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Finding the Third Proportional to 327,414 and 462,143

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Solution

The third proportional to 327,414 and 462,143 is: 652,312.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,414 : 462,143 = 462,143 : x
  2. Step 2: Convert to fraction form
    327,414/462,143 = 462,143/x
  3. Step 3: Cross multiply
    327,414x = 462,143 × 462,143
  4. Step 4: Simplify right side
    327,414x = 213,576,152,449
  5. Step 5: Solve for x
    x = 213,576,152,449/327,414
  6. Step 6: Final answer
    x = 652,312.22

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.