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Finding the Third Proportional to 452,040.75 and 613,919.25

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Solution

The third proportional to 452,040.75 and 613,919.25 is: 833,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,040.75 : 613,919.25 = 613,919.25 : x
  2. Step 2: Convert to fraction form
    452,040.75/613,919.25 = 613,919.25/x
  3. Step 3: Cross multiply
    452,040.75x = 613,919.25 × 613,919.25
  4. Step 4: Simplify right side
    452,040.75x = 376,896,845,520.56
  5. Step 5: Solve for x
    x = 376,896,845,520.56/452,040.75
  6. Step 6: Final answer
    x = 833,767.41

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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.