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Finding the Third Proportional to 396,582.75 and 595,755

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Solution

The third proportional to 396,582.75 and 595,755 is: 894,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,582.75 : 595,755 = 595,755 : x
  2. Step 2: Convert to fraction form
    396,582.75/595,755 = 595,755/x
  3. Step 3: Cross multiply
    396,582.75x = 595,755 × 595,755
  4. Step 4: Simplify right side
    396,582.75x = 354,924,020,025
  5. Step 5: Solve for x
    x = 354,924,020,025/396,582.75
  6. Step 6: Final answer
    x = 894,955.77

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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.