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Finding the Third Proportional to 451,595 and 697,625

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Solution

The third proportional to 451,595 and 697,625 is: 1,077,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,595 : 697,625 = 697,625 : x
  2. Step 2: Convert to fraction form
    451,595/697,625 = 697,625/x
  3. Step 3: Cross multiply
    451,595x = 697,625 × 697,625
  4. Step 4: Simplify right side
    451,595x = 486,680,640,625
  5. Step 5: Solve for x
    x = 486,680,640,625/451,595
  6. Step 6: Final answer
    x = 1,077,692.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.