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Finding the Third Proportional to 496,961 and 662,107

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Solution

The third proportional to 496,961 and 662,107 is: 882,132.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,961 : 662,107 = 662,107 : x
  2. Step 2: Convert to fraction form
    496,961/662,107 = 662,107/x
  3. Step 3: Cross multiply
    496,961x = 662,107 × 662,107
  4. Step 4: Simplify right side
    496,961x = 438,385,679,449
  5. Step 5: Solve for x
    x = 438,385,679,449/496,961
  6. Step 6: Final answer
    x = 882,132.96

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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.