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Finding the Third Proportional to 451,743 and 665,100

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Solution

The third proportional to 451,743 and 665,100 is: 979,224.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,743 : 665,100 = 665,100 : x
  2. Step 2: Convert to fraction form
    451,743/665,100 = 665,100/x
  3. Step 3: Cross multiply
    451,743x = 665,100 × 665,100
  4. Step 4: Simplify right side
    451,743x = 442,358,010,000
  5. Step 5: Solve for x
    x = 442,358,010,000/451,743
  6. Step 6: Final answer
    x = 979,224.94

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.