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Finding the Third Proportional to 496,962 and 662,113

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Solution

The third proportional to 496,962 and 662,113 is: 882,147.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,962 : 662,113 = 662,113 : x
  2. Step 2: Convert to fraction form
    496,962/662,113 = 662,113/x
  3. Step 3: Cross multiply
    496,962x = 662,113 × 662,113
  4. Step 4: Simplify right side
    496,962x = 438,393,624,769
  5. Step 5: Solve for x
    x = 438,393,624,769/496,962
  6. Step 6: Final answer
    x = 882,147.18

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