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Finding the Third Proportional to 451,625 and 699,063

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Solution

The third proportional to 451,625 and 699,063 is: 1,082,068.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,625 : 699,063 = 699,063 : x
  2. Step 2: Convert to fraction form
    451,625/699,063 = 699,063/x
  3. Step 3: Cross multiply
    451,625x = 699,063 × 699,063
  4. Step 4: Simplify right side
    451,625x = 488,689,077,969
  5. Step 5: Solve for x
    x = 488,689,077,969/451,625
  6. Step 6: Final answer
    x = 1,082,068.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.