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Finding the Third Proportional to 451,738 and 660,651

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Solution

The third proportional to 451,738 and 660,651 is: 966,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,738 : 660,651 = 660,651 : x
  2. Step 2: Convert to fraction form
    451,738/660,651 = 660,651/x
  3. Step 3: Cross multiply
    451,738x = 660,651 × 660,651
  4. Step 4: Simplify right side
    451,738x = 436,459,743,801
  5. Step 5: Solve for x
    x = 436,459,743,801/451,738
  6. Step 6: Final answer
    x = 966,178.94

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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.