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Finding the Third Proportional to 327,847,533 and 498,484,464

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Solution

The third proportional to 327,847,533 and 498,484,464 is: 757,933,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,847,533 : 498,484,464 = 498,484,464 : x
  2. Step 2: Convert to fraction form
    327,847,533/498,484,464 = 498,484,464/x
  3. Step 3: Cross multiply
    327,847,533x = 498,484,464 × 498,484,464
  4. Step 4: Simplify right side
    327,847,533x = 248,486,760,849,367,296
  5. Step 5: Solve for x
    x = 248,486,760,849,367,296/327,847,533
  6. Step 6: Final answer
    x = 757,933,904.75

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