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Finding the Third Proportional to 414,844.88 and 587,518.31

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Solution

The third proportional to 414,844.88 and 587,518.31 is: 832,064.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,844.88 : 587,518.31 = 587,518.31 : x
  2. Step 2: Convert to fraction form
    414,844.88/587,518.31 = 587,518.31/x
  3. Step 3: Cross multiply
    414,844.88x = 587,518.31 × 587,518.31
  4. Step 4: Simplify right side
    414,844.88x = 345,177,767,522.85
  5. Step 5: Solve for x
    x = 345,177,767,522.85/414,844.88
  6. Step 6: Final answer
    x = 832,064.68

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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.