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Finding the Third Proportional to 396,483.75 and 595,604.81

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Solution

The third proportional to 396,483.75 and 595,604.81 is: 894,727.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,483.75 : 595,604.81 = 595,604.81 : x
  2. Step 2: Convert to fraction form
    396,483.75/595,604.81 = 595,604.81/x
  3. Step 3: Cross multiply
    396,483.75x = 595,604.81 × 595,604.81
  4. Step 4: Simplify right side
    396,483.75x = 354,745,092,673.16
  5. Step 5: Solve for x
    x = 354,745,092,673.16/396,483.75
  6. Step 6: Final answer
    x = 894,727.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.