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Finding the Third Proportional to 414,087.75 and 587,211.75

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Solution

The third proportional to 414,087.75 and 587,211.75 is: 832,716.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,087.75 : 587,211.75 = 587,211.75 : x
  2. Step 2: Convert to fraction form
    414,087.75/587,211.75 = 587,211.75/x
  3. Step 3: Cross multiply
    414,087.75x = 587,211.75 × 587,211.75
  4. Step 4: Simplify right side
    414,087.75x = 344,817,639,338.06
  5. Step 5: Solve for x
    x = 344,817,639,338.06/414,087.75
  6. Step 6: Final answer
    x = 832,716.35

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.