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Finding the Third Proportional to 270,576 and 587,800

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Solution

The third proportional to 270,576 and 587,800 is: 1,276,938.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,576 : 587,800 = 587,800 : x
  2. Step 2: Convert to fraction form
    270,576/587,800 = 587,800/x
  3. Step 3: Cross multiply
    270,576x = 587,800 × 587,800
  4. Step 4: Simplify right side
    270,576x = 345,508,840,000
  5. Step 5: Solve for x
    x = 345,508,840,000/270,576
  6. Step 6: Final answer
    x = 1,276,938.24

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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.