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Finding the Third Proportional to 323,071 and 462,452

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Solution

The third proportional to 323,071 and 462,452 is: 661,965.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,071 : 462,452 = 462,452 : x
  2. Step 2: Convert to fraction form
    323,071/462,452 = 462,452/x
  3. Step 3: Cross multiply
    323,071x = 462,452 × 462,452
  4. Step 4: Simplify right side
    323,071x = 213,861,852,304
  5. Step 5: Solve for x
    x = 213,861,852,304/323,071
  6. Step 6: Final answer
    x = 661,965.49

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.