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Finding the Third Proportional to 451,892 and 662,734

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Solution

The third proportional to 451,892 and 662,734 is: 971,949.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,892 : 662,734 = 662,734 : x
  2. Step 2: Convert to fraction form
    451,892/662,734 = 662,734/x
  3. Step 3: Cross multiply
    451,892x = 662,734 × 662,734
  4. Step 4: Simplify right side
    451,892x = 439,216,354,756
  5. Step 5: Solve for x
    x = 439,216,354,756/451,892
  6. Step 6: Final answer
    x = 971,949.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.