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Finding the Third Proportional to 667,048 and 998,749

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Solution

The third proportional to 667,048 and 998,749 is: 1,495,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,048 : 998,749 = 998,749 : x
  2. Step 2: Convert to fraction form
    667,048/998,749 = 998,749/x
  3. Step 3: Cross multiply
    667,048x = 998,749 × 998,749
  4. Step 4: Simplify right side
    667,048x = 997,499,565,001
  5. Step 5: Solve for x
    x = 997,499,565,001/667,048
  6. Step 6: Final answer
    x = 1,495,393.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.