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Finding the Third Proportional to 237,338 and 521,344

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Solution

The third proportional to 237,338 and 521,344 is: 1,145,200.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,338 : 521,344 = 521,344 : x
  2. Step 2: Convert to fraction form
    237,338/521,344 = 521,344/x
  3. Step 3: Cross multiply
    237,338x = 521,344 × 521,344
  4. Step 4: Simplify right side
    237,338x = 271,799,566,336
  5. Step 5: Solve for x
    x = 271,799,566,336/237,338
  6. Step 6: Final answer
    x = 1,145,200.37

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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.