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Finding the Third Proportional to 270,496.50 and 587,649

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Solution

The third proportional to 270,496.50 and 587,649 is: 1,276,657.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,496.50 : 587,649 = 587,649 : x
  2. Step 2: Convert to fraction form
    270,496.50/587,649 = 587,649/x
  3. Step 3: Cross multiply
    270,496.50x = 587,649 × 587,649
  4. Step 4: Simplify right side
    270,496.50x = 345,331,347,201
  5. Step 5: Solve for x
    x = 345,331,347,201/270,496.50
  6. Step 6: Final answer
    x = 1,276,657.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.