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Finding the Third Proportional to 467,100.11 and 762,724.79

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Solution

The third proportional to 467,100.11 and 762,724.79 is: 1,245,448.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,100.11 : 762,724.79 = 762,724.79 : x
  2. Step 2: Convert to fraction form
    467,100.11/762,724.79 = 762,724.79/x
  3. Step 3: Cross multiply
    467,100.11x = 762,724.79 × 762,724.79
  4. Step 4: Simplify right side
    467,100.11x = 581,749,109,809.22
  5. Step 5: Solve for x
    x = 581,749,109,809.22/467,100.11
  6. Step 6: Final answer
    x = 1,245,448.47

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.