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Finding the Third Proportional to 322,470 and 496,098

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Solution

The third proportional to 322,470 and 496,098 is: 763,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,470 : 496,098 = 496,098 : x
  2. Step 2: Convert to fraction form
    322,470/496,098 = 496,098/x
  3. Step 3: Cross multiply
    322,470x = 496,098 × 496,098
  4. Step 4: Simplify right side
    322,470x = 246,113,225,604
  5. Step 5: Solve for x
    x = 246,113,225,604/322,470
  6. Step 6: Final answer
    x = 763,212.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.