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Finding the Third Proportional to 332,419,996 and 496,769,478

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Solution

The third proportional to 332,419,996 and 496,769,478 is: 742,373,856.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,419,996 : 496,769,478 = 496,769,478 : x
  2. Step 2: Convert to fraction form
    332,419,996/496,769,478 = 496,769,478/x
  3. Step 3: Cross multiply
    332,419,996x = 496,769,478 × 496,769,478
  4. Step 4: Simplify right side
    332,419,996x = 246,779,914,272,392,480
  5. Step 5: Solve for x
    x = 246,779,914,272,392,480/332,419,996
  6. Step 6: Final answer
    x = 742,373,856.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.