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Finding the Third Proportional to 237,228 and 521,112

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Solution

The third proportional to 237,228 and 521,112 is: 1,144,711.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,228 : 521,112 = 521,112 : x
  2. Step 2: Convert to fraction form
    237,228/521,112 = 521,112/x
  3. Step 3: Cross multiply
    237,228x = 521,112 × 521,112
  4. Step 4: Simplify right side
    237,228x = 271,557,716,544
  5. Step 5: Solve for x
    x = 271,557,716,544/237,228
  6. Step 6: Final answer
    x = 1,144,711.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.