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Finding the Third Proportional to 496,956 and 662,100

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Solution

The third proportional to 496,956 and 662,100 is: 882,123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,956 : 662,100 = 662,100 : x
  2. Step 2: Convert to fraction form
    496,956/662,100 = 662,100/x
  3. Step 3: Cross multiply
    496,956x = 662,100 × 662,100
  4. Step 4: Simplify right side
    496,956x = 438,376,410,000
  5. Step 5: Solve for x
    x = 438,376,410,000/496,956
  6. Step 6: Final answer
    x = 882,123.19

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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.