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Finding the Third Proportional to 273,140,150 and 600,761,306

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Solution

The third proportional to 273,140,150 and 600,761,306 is: 1,321,351,499.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,140,150 : 600,761,306 = 600,761,306 : x
  2. Step 2: Convert to fraction form
    273,140,150/600,761,306 = 600,761,306/x
  3. Step 3: Cross multiply
    273,140,150x = 600,761,306 × 600,761,306
  4. Step 4: Simplify right side
    273,140,150x = 360,914,146,786,825,664
  5. Step 5: Solve for x
    x = 360,914,146,786,825,664/273,140,150
  6. Step 6: Final answer
    x = 1,321,351,499.54

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.