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Finding the Third Proportional to 176,449 and 416,471

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Solution

The third proportional to 176,449 and 416,471 is: 982,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,449 : 416,471 = 416,471 : x
  2. Step 2: Convert to fraction form
    176,449/416,471 = 416,471/x
  3. Step 3: Cross multiply
    176,449x = 416,471 × 416,471
  4. Step 4: Simplify right side
    176,449x = 173,448,093,841
  5. Step 5: Solve for x
    x = 173,448,093,841/176,449
  6. Step 6: Final answer
    x = 982,992.78

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.