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Finding the Third Proportional to 327,578 and 714,448

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Solution

The third proportional to 327,578 and 714,448 is: 1,558,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,578 : 714,448 = 714,448 : x
  2. Step 2: Convert to fraction form
    327,578/714,448 = 714,448/x
  3. Step 3: Cross multiply
    327,578x = 714,448 × 714,448
  4. Step 4: Simplify right side
    327,578x = 510,435,944,704
  5. Step 5: Solve for x
    x = 510,435,944,704/327,578
  6. Step 6: Final answer
    x = 1,558,211.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.