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Finding the Third Proportional to 342,228 and 763,188

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Solution

The third proportional to 342,228 and 763,188 is: 1,701,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,228 : 763,188 = 763,188 : x
  2. Step 2: Convert to fraction form
    342,228/763,188 = 763,188/x
  3. Step 3: Cross multiply
    342,228x = 763,188 × 763,188
  4. Step 4: Simplify right side
    342,228x = 582,455,923,344
  5. Step 5: Solve for x
    x = 582,455,923,344/342,228
  6. Step 6: Final answer
    x = 1,701,952.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.