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Finding the Third Proportional to 451,656 and 660,523

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Solution

The third proportional to 451,656 and 660,523 is: 965,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,656 : 660,523 = 660,523 : x
  2. Step 2: Convert to fraction form
    451,656/660,523 = 660,523/x
  3. Step 3: Cross multiply
    451,656x = 660,523 × 660,523
  4. Step 4: Simplify right side
    451,656x = 436,290,633,529
  5. Step 5: Solve for x
    x = 436,290,633,529/451,656
  6. Step 6: Final answer
    x = 965,979.94

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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.