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Finding the Third Proportional to 451,731.75 and 660,627

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Solution

The third proportional to 451,731.75 and 660,627 is: 966,122.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,731.75 : 660,627 = 660,627 : x
  2. Step 2: Convert to fraction form
    451,731.75/660,627 = 660,627/x
  3. Step 3: Cross multiply
    451,731.75x = 660,627 × 660,627
  4. Step 4: Simplify right side
    451,731.75x = 436,428,033,129
  5. Step 5: Solve for x
    x = 436,428,033,129/451,731.75
  6. Step 6: Final answer
    x = 966,122.11

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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.