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Finding the Third Proportional to 331,292 and 441,388

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Solution

The third proportional to 331,292 and 441,388 is: 588,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,292 : 441,388 = 441,388 : x
  2. Step 2: Convert to fraction form
    331,292/441,388 = 441,388/x
  3. Step 3: Cross multiply
    331,292x = 441,388 × 441,388
  4. Step 4: Simplify right side
    331,292x = 194,823,366,544
  5. Step 5: Solve for x
    x = 194,823,366,544/331,292
  6. Step 6: Final answer
    x = 588,071.45

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.