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Finding the Third Proportional to 323,972 and 479,577

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Solution

The third proportional to 323,972 and 479,577 is: 709,919.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,972 : 479,577 = 479,577 : x
  2. Step 2: Convert to fraction form
    323,972/479,577 = 479,577/x
  3. Step 3: Cross multiply
    323,972x = 479,577 × 479,577
  4. Step 4: Simplify right side
    323,972x = 229,994,098,929
  5. Step 5: Solve for x
    x = 229,994,098,929/323,972
  6. Step 6: Final answer
    x = 709,919.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.