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Finding the Third Proportional to 665,498 and 997,923

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Solution

The third proportional to 665,498 and 997,923 is: 1,496,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,498 : 997,923 = 997,923 : x
  2. Step 2: Convert to fraction form
    665,498/997,923 = 997,923/x
  3. Step 3: Cross multiply
    665,498x = 997,923 × 997,923
  4. Step 4: Simplify right side
    665,498x = 995,850,313,929
  5. Step 5: Solve for x
    x = 995,850,313,929/665,498
  6. Step 6: Final answer
    x = 1,496,398.66

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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.