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Finding the Third Proportional to 270,499.50 and 587,655

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Solution

The third proportional to 270,499.50 and 587,655 is: 1,276,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,499.50 : 587,655 = 587,655 : x
  2. Step 2: Convert to fraction form
    270,499.50/587,655 = 587,655/x
  3. Step 3: Cross multiply
    270,499.50x = 587,655 × 587,655
  4. Step 4: Simplify right side
    270,499.50x = 345,338,399,025
  5. Step 5: Solve for x
    x = 345,338,399,025/270,499.50
  6. Step 6: Final answer
    x = 1,276,669.27

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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.