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Finding the Third Proportional to 270,634 and 587,376

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Solution

The third proportional to 270,634 and 587,376 is: 1,274,823.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,634 : 587,376 = 587,376 : x
  2. Step 2: Convert to fraction form
    270,634/587,376 = 587,376/x
  3. Step 3: Cross multiply
    270,634x = 587,376 × 587,376
  4. Step 4: Simplify right side
    270,634x = 345,010,565,376
  5. Step 5: Solve for x
    x = 345,010,565,376/270,634
  6. Step 6: Final answer
    x = 1,274,823.43

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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.