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Finding the Third Proportional to 274,033,329 and 395,930,839.50

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Solution

The third proportional to 274,033,329 and 395,930,839.50 is: 572,051,692.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,033,329 : 395,930,839.50 = 395,930,839.50 : x
  2. Step 2: Convert to fraction form
    274,033,329/395,930,839.50 = 395,930,839.50/x
  3. Step 3: Cross multiply
    274,033,329x = 395,930,839.50 × 395,930,839.50
  4. Step 4: Simplify right side
    274,033,329x = 156,761,229,667,174,752
  5. Step 5: Solve for x
    x = 156,761,229,667,174,752/274,033,329
  6. Step 6: Final answer
    x = 572,051,692.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.