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Finding the Third Proportional to 451,988 and 613,856

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Solution

The third proportional to 451,988 and 613,856 is: 833,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,988 : 613,856 = 613,856 : x
  2. Step 2: Convert to fraction form
    451,988/613,856 = 613,856/x
  3. Step 3: Cross multiply
    451,988x = 613,856 × 613,856
  4. Step 4: Simplify right side
    451,988x = 376,819,188,736
  5. Step 5: Solve for x
    x = 376,819,188,736/451,988
  6. Step 6: Final answer
    x = 833,692.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.