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Finding the Third Proportional to 414,167.25 and 905,878.50

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Solution

The third proportional to 414,167.25 and 905,878.50 is: 1,981,363.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,167.25 : 905,878.50 = 905,878.50 : x
  2. Step 2: Convert to fraction form
    414,167.25/905,878.50 = 905,878.50/x
  3. Step 3: Cross multiply
    414,167.25x = 905,878.50 × 905,878.50
  4. Step 4: Simplify right side
    414,167.25x = 820,615,856,762.25
  5. Step 5: Solve for x
    x = 820,615,856,762.25/414,167.25
  6. Step 6: Final answer
    x = 1,981,363.46

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.