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Finding the Third Proportional to 471,663 and 666,738

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Solution

The third proportional to 471,663 and 666,738 is: 942,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,663 : 666,738 = 666,738 : x
  2. Step 2: Convert to fraction form
    471,663/666,738 = 666,738/x
  3. Step 3: Cross multiply
    471,663x = 666,738 × 666,738
  4. Step 4: Simplify right side
    471,663x = 444,539,560,644
  5. Step 5: Solve for x
    x = 444,539,560,644/471,663
  6. Step 6: Final answer
    x = 942,494.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.