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Finding the Third Proportional to 325,466,192 and 491,226,016

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Solution

The third proportional to 325,466,192 and 491,226,016 is: 741,407,263.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,466,192 : 491,226,016 = 491,226,016 : x
  2. Step 2: Convert to fraction form
    325,466,192/491,226,016 = 491,226,016/x
  3. Step 3: Cross multiply
    325,466,192x = 491,226,016 × 491,226,016
  4. Step 4: Simplify right side
    325,466,192x = 241,302,998,795,232,256
  5. Step 5: Solve for x
    x = 241,302,998,795,232,256/325,466,192
  6. Step 6: Final answer
    x = 741,407,263.57

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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.