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Finding the Third Proportional to 471,668 and 666,769

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Solution

The third proportional to 471,668 and 666,769 is: 942,571.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,668 : 666,769 = 666,769 : x
  2. Step 2: Convert to fraction form
    471,668/666,769 = 666,769/x
  3. Step 3: Cross multiply
    471,668x = 666,769 × 666,769
  4. Step 4: Simplify right side
    471,668x = 444,580,899,361
  5. Step 5: Solve for x
    x = 444,580,899,361/471,668
  6. Step 6: Final answer
    x = 942,571.68

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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.