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Finding the Third Proportional to 323,965 and 479,571

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Solution

The third proportional to 323,965 and 479,571 is: 709,917.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,965 : 479,571 = 479,571 : x
  2. Step 2: Convert to fraction form
    323,965/479,571 = 479,571/x
  3. Step 3: Cross multiply
    323,965x = 479,571 × 479,571
  4. Step 4: Simplify right side
    323,965x = 229,988,344,041
  5. Step 5: Solve for x
    x = 229,988,344,041/323,965
  6. Step 6: Final answer
    x = 709,917.26

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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.