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Finding the Third Proportional to 320,304 and 482,550

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Solution

The third proportional to 320,304 and 482,550 is: 726,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,304 : 482,550 = 482,550 : x
  2. Step 2: Convert to fraction form
    320,304/482,550 = 482,550/x
  3. Step 3: Cross multiply
    320,304x = 482,550 × 482,550
  4. Step 4: Simplify right side
    320,304x = 232,854,502,500
  5. Step 5: Solve for x
    x = 232,854,502,500/320,304
  6. Step 6: Final answer
    x = 726,979.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.