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Finding the Third Proportional to 396,112.50 and 596,068.50

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Solution

The third proportional to 396,112.50 and 596,068.50 is: 896,961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,112.50 : 596,068.50 = 596,068.50 : x
  2. Step 2: Convert to fraction form
    396,112.50/596,068.50 = 596,068.50/x
  3. Step 3: Cross multiply
    396,112.50x = 596,068.50 × 596,068.50
  4. Step 4: Simplify right side
    396,112.50x = 355,297,656,692.25
  5. Step 5: Solve for x
    x = 355,297,656,692.25/396,112.50
  6. Step 6: Final answer
    x = 896,961.49

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