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Finding the Third Proportional to 451,674 and 660,546

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Solution

The third proportional to 451,674 and 660,546 is: 966,008.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,674 : 660,546 = 660,546 : x
  2. Step 2: Convert to fraction form
    451,674/660,546 = 660,546/x
  3. Step 3: Cross multiply
    451,674x = 660,546 × 660,546
  4. Step 4: Simplify right side
    451,674x = 436,321,018,116
  5. Step 5: Solve for x
    x = 436,321,018,116/451,674
  6. Step 6: Final answer
    x = 966,008.71

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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.