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Finding the Third Proportional to 327,847,509 and 498,484,422

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Solution

The third proportional to 327,847,509 and 498,484,422 is: 757,933,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,847,509 : 498,484,422 = 498,484,422 : x
  2. Step 2: Convert to fraction form
    327,847,509/498,484,422 = 498,484,422/x
  3. Step 3: Cross multiply
    327,847,509x = 498,484,422 × 498,484,422
  4. Step 4: Simplify right side
    327,847,509x = 248,486,718,976,674,080
  5. Step 5: Solve for x
    x = 248,486,718,976,674,080/327,847,509
  6. Step 6: Final answer
    x = 757,933,832.51

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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.