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Finding the Third Proportional to 396,907.50 and 596,257.50

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Solution

The third proportional to 396,907.50 and 596,257.50 is: 895,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,907.50 : 596,257.50 = 596,257.50 : x
  2. Step 2: Convert to fraction form
    396,907.50/596,257.50 = 596,257.50/x
  3. Step 3: Cross multiply
    396,907.50x = 596,257.50 × 596,257.50
  4. Step 4: Simplify right side
    396,907.50x = 355,523,006,306.25
  5. Step 5: Solve for x
    x = 355,523,006,306.25/396,907.50
  6. Step 6: Final answer
    x = 895,732.65

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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.