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Finding the Third Proportional to 451,996 and 613,868

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Solution

The third proportional to 451,996 and 613,868 is: 833,710.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,996 : 613,868 = 613,868 : x
  2. Step 2: Convert to fraction form
    451,996/613,868 = 613,868/x
  3. Step 3: Cross multiply
    451,996x = 613,868 × 613,868
  4. Step 4: Simplify right side
    451,996x = 376,833,921,424
  5. Step 5: Solve for x
    x = 376,833,921,424/451,996
  6. Step 6: Final answer
    x = 833,710.74

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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.