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Finding the Third Proportional to 270,630 and 587,367

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Solution

The third proportional to 270,630 and 587,367 is: 1,274,803.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,630 : 587,367 = 587,367 : x
  2. Step 2: Convert to fraction form
    270,630/587,367 = 587,367/x
  3. Step 3: Cross multiply
    270,630x = 587,367 × 587,367
  4. Step 4: Simplify right side
    270,630x = 344,999,992,689
  5. Step 5: Solve for x
    x = 344,999,992,689/270,630
  6. Step 6: Final answer
    x = 1,274,803.21

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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.