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Finding the Third Proportional to 665,517 and 997,950

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Solution

The third proportional to 665,517 and 997,950 is: 1,496,436.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,517 : 997,950 = 997,950 : x
  2. Step 2: Convert to fraction form
    665,517/997,950 = 997,950/x
  3. Step 3: Cross multiply
    665,517x = 997,950 × 997,950
  4. Step 4: Simplify right side
    665,517x = 995,904,202,500
  5. Step 5: Solve for x
    x = 995,904,202,500/665,517
  6. Step 6: Final answer
    x = 1,496,436.91

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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.