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Finding the Third Proportional to 237,892 and 512,920

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Solution

The third proportional to 237,892 and 512,920 is: 1,105,909.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,892 : 512,920 = 512,920 : x
  2. Step 2: Convert to fraction form
    237,892/512,920 = 512,920/x
  3. Step 3: Cross multiply
    237,892x = 512,920 × 512,920
  4. Step 4: Simplify right side
    237,892x = 263,086,926,400
  5. Step 5: Solve for x
    x = 263,086,926,400/237,892
  6. Step 6: Final answer
    x = 1,105,909.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.