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Finding the Third Proportional to 664,058 and 996,767

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Solution

The third proportional to 664,058 and 996,767 is: 1,496,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,058 : 996,767 = 996,767 : x
  2. Step 2: Convert to fraction form
    664,058/996,767 = 996,767/x
  3. Step 3: Cross multiply
    664,058x = 996,767 × 996,767
  4. Step 4: Simplify right side
    664,058x = 993,544,452,289
  5. Step 5: Solve for x
    x = 993,544,452,289/664,058
  6. Step 6: Final answer
    x = 1,496,171.20

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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.