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Finding the Third Proportional to 288,744 and 444,387

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Solution

The third proportional to 288,744 and 444,387 is: 683,926.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,744 : 444,387 = 444,387 : x
  2. Step 2: Convert to fraction form
    288,744/444,387 = 444,387/x
  3. Step 3: Cross multiply
    288,744x = 444,387 × 444,387
  4. Step 4: Simplify right side
    288,744x = 197,479,805,769
  5. Step 5: Solve for x
    x = 197,479,805,769/288,744
  6. Step 6: Final answer
    x = 683,926.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.