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Finding the Third Proportional to 489,742 and 748,677

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Solution

The third proportional to 489,742 and 748,677 is: 1,144,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,742 : 748,677 = 748,677 : x
  2. Step 2: Convert to fraction form
    489,742/748,677 = 748,677/x
  3. Step 3: Cross multiply
    489,742x = 748,677 × 748,677
  4. Step 4: Simplify right side
    489,742x = 560,517,250,329
  5. Step 5: Solve for x
    x = 560,517,250,329/489,742
  6. Step 6: Final answer
    x = 1,144,515.38

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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.