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Finding the Third Proportional to 451,724 and 660,589

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Solution

The third proportional to 451,724 and 660,589 is: 966,027.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,724 : 660,589 = 660,589 : x
  2. Step 2: Convert to fraction form
    451,724/660,589 = 660,589/x
  3. Step 3: Cross multiply
    451,724x = 660,589 × 660,589
  4. Step 4: Simplify right side
    451,724x = 436,377,826,921
  5. Step 5: Solve for x
    x = 436,377,826,921/451,724
  6. Step 6: Final answer
    x = 966,027.55

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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.