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Finding the Third Proportional to 270,487 and 587,630

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Solution

The third proportional to 270,487 and 587,630 is: 1,276,619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,487 : 587,630 = 587,630 : x
  2. Step 2: Convert to fraction form
    270,487/587,630 = 587,630/x
  3. Step 3: Cross multiply
    270,487x = 587,630 × 587,630
  4. Step 4: Simplify right side
    270,487x = 345,309,016,900
  5. Step 5: Solve for x
    x = 345,309,016,900/270,487
  6. Step 6: Final answer
    x = 1,276,619.64

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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.