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Finding the Third Proportional to 489,744 and 748,680

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Solution

The third proportional to 489,744 and 748,680 is: 1,144,519.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,744 : 748,680 = 748,680 : x
  2. Step 2: Convert to fraction form
    489,744/748,680 = 748,680/x
  3. Step 3: Cross multiply
    489,744x = 748,680 × 748,680
  4. Step 4: Simplify right side
    489,744x = 560,521,742,400
  5. Step 5: Solve for x
    x = 560,521,742,400/489,744
  6. Step 6: Final answer
    x = 1,144,519.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.