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Finding the Third Proportional to 451,738 and 660,638

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Solution

The third proportional to 451,738 and 660,638 is: 966,140.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,738 : 660,638 = 660,638 : x
  2. Step 2: Convert to fraction form
    451,738/660,638 = 660,638/x
  3. Step 3: Cross multiply
    451,738x = 660,638 × 660,638
  4. Step 4: Simplify right side
    451,738x = 436,442,567,044
  5. Step 5: Solve for x
    x = 436,442,567,044/451,738
  6. Step 6: Final answer
    x = 966,140.92

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.