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Finding the Third Proportional to 200,732 and 441,387

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Solution

The third proportional to 200,732 and 441,387 is: 970,560.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,732 : 441,387 = 441,387 : x
  2. Step 2: Convert to fraction form
    200,732/441,387 = 441,387/x
  3. Step 3: Cross multiply
    200,732x = 441,387 × 441,387
  4. Step 4: Simplify right side
    200,732x = 194,822,483,769
  5. Step 5: Solve for x
    x = 194,822,483,769/200,732
  6. Step 6: Final answer
    x = 970,560.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.