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Finding the Third Proportional to 396,292.50 and 613,878.75

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Solution

The third proportional to 396,292.50 and 613,878.75 is: 950,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,292.50 : 613,878.75 = 613,878.75 : x
  2. Step 2: Convert to fraction form
    396,292.50/613,878.75 = 613,878.75/x
  3. Step 3: Cross multiply
    396,292.50x = 613,878.75 × 613,878.75
  4. Step 4: Simplify right side
    396,292.50x = 376,847,119,701.56
  5. Step 5: Solve for x
    x = 376,847,119,701.56/396,292.50
  6. Step 6: Final answer
    x = 950,931.75

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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.