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Finding the Third Proportional to 269,195.06 and 587,288.81

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Solution

The third proportional to 269,195.06 and 587,288.81 is: 1,281,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,195.06 : 587,288.81 = 587,288.81 : x
  2. Step 2: Convert to fraction form
    269,195.06/587,288.81 = 587,288.81/x
  3. Step 3: Cross multiply
    269,195.06x = 587,288.81 × 587,288.81
  4. Step 4: Simplify right side
    269,195.06x = 344,908,149,287.66
  5. Step 5: Solve for x
    x = 344,908,149,287.66/269,195.06
  6. Step 6: Final answer
    x = 1,281,257.34

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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.