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Finding the Third Proportional to 471,592.13 and 666,655.31

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Solution

The third proportional to 471,592.13 and 666,655.31 is: 942,401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,592.13 : 666,655.31 = 666,655.31 : x
  2. Step 2: Convert to fraction form
    471,592.13/666,655.31 = 666,655.31/x
  3. Step 3: Cross multiply
    471,592.13x = 666,655.31 × 666,655.31
  4. Step 4: Simplify right side
    471,592.13x = 444,429,305,684.47
  5. Step 5: Solve for x
    x = 444,429,305,684.47/471,592.13
  6. Step 6: Final answer
    x = 942,401.88

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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.