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Finding the Third Proportional to 269,216.44 and 587,333.25

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Solution

The third proportional to 269,216.44 and 587,333.25 is: 1,281,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,216.44 : 587,333.25 = 587,333.25 : x
  2. Step 2: Convert to fraction form
    269,216.44/587,333.25 = 587,333.25/x
  3. Step 3: Cross multiply
    269,216.44x = 587,333.25 × 587,333.25
  4. Step 4: Simplify right side
    269,216.44x = 344,960,346,555.56
  5. Step 5: Solve for x
    x = 344,960,346,555.56/269,216.44
  6. Step 6: Final answer
    x = 1,281,349.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.