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Finding the Third Proportional to 377,590.50 and 576,229.50

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Solution

The third proportional to 377,590.50 and 576,229.50 is: 879,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,590.50 : 576,229.50 = 576,229.50 : x
  2. Step 2: Convert to fraction form
    377,590.50/576,229.50 = 576,229.50/x
  3. Step 3: Cross multiply
    377,590.50x = 576,229.50 × 576,229.50
  4. Step 4: Simplify right side
    377,590.50x = 332,040,436,670.25
  5. Step 5: Solve for x
    x = 332,040,436,670.25/377,590.50
  6. Step 6: Final answer
    x = 879,366.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.