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Finding the Third Proportional to 270,684 and 587,502

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Solution

The third proportional to 270,684 and 587,502 is: 1,275,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,684 : 587,502 = 587,502 : x
  2. Step 2: Convert to fraction form
    270,684/587,502 = 587,502/x
  3. Step 3: Cross multiply
    270,684x = 587,502 × 587,502
  4. Step 4: Simplify right side
    270,684x = 345,158,600,004
  5. Step 5: Solve for x
    x = 345,158,600,004/270,684
  6. Step 6: Final answer
    x = 1,275,134.84

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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.