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Finding the Third Proportional to 327,847,535 and 498,484,467

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Solution

The third proportional to 327,847,535 and 498,484,467 is: 757,933,909.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,847,535 : 498,484,467 = 498,484,467 : x
  2. Step 2: Convert to fraction form
    327,847,535/498,484,467 = 498,484,467/x
  3. Step 3: Cross multiply
    327,847,535x = 498,484,467 × 498,484,467
  4. Step 4: Simplify right side
    327,847,535x = 248,486,763,840,274,080
  5. Step 5: Solve for x
    x = 248,486,763,840,274,080/327,847,535
  6. Step 6: Final answer
    x = 757,933,909.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.