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Finding the Third Proportional to 325,466,296 and 491,226,099

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Solution

The third proportional to 325,466,296 and 491,226,099 is: 741,407,277.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,466,296 : 491,226,099 = 491,226,099 : x
  2. Step 2: Convert to fraction form
    325,466,296/491,226,099 = 491,226,099/x
  3. Step 3: Cross multiply
    325,466,296x = 491,226,099 × 491,226,099
  4. Step 4: Simplify right side
    325,466,296x = 241,303,080,338,757,792
  5. Step 5: Solve for x
    x = 241,303,080,338,757,792/325,466,296
  6. Step 6: Final answer
    x = 741,407,277.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.