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Finding the Third Proportional to 268,185 and 587,580

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Solution

The third proportional to 268,185 and 587,580 is: 1,287,358.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,185 : 587,580 = 587,580 : x
  2. Step 2: Convert to fraction form
    268,185/587,580 = 587,580/x
  3. Step 3: Cross multiply
    268,185x = 587,580 × 587,580
  4. Step 4: Simplify right side
    268,185x = 345,250,256,400
  5. Step 5: Solve for x
    x = 345,250,256,400/268,185
  6. Step 6: Final answer
    x = 1,287,358.56

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Why These Related Problems?

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