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Finding the Third Proportional to 238,972 and 521,422

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Solution

The third proportional to 238,972 and 521,422 is: 1,137,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,972 : 521,422 = 521,422 : x
  2. Step 2: Convert to fraction form
    238,972/521,422 = 521,422/x
  3. Step 3: Cross multiply
    238,972x = 521,422 × 521,422
  4. Step 4: Simplify right side
    238,972x = 271,880,902,084
  5. Step 5: Solve for x
    x = 271,880,902,084/238,972
  6. Step 6: Final answer
    x = 1,137,710.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.