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Finding the Third Proportional to 471,668.06 and 666,769.22

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Solution

The third proportional to 471,668.06 and 666,769.22 is: 942,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,668.06 : 666,769.22 = 666,769.22 : x
  2. Step 2: Convert to fraction form
    471,668.06/666,769.22 = 666,769.22/x
  3. Step 3: Cross multiply
    471,668.06x = 666,769.22 × 666,769.22
  4. Step 4: Simplify right side
    471,668.06x = 444,581,191,072.49
  5. Step 5: Solve for x
    x = 444,581,191,072.49/471,668.06
  6. Step 6: Final answer
    x = 942,572.17

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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.