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Finding the Third Proportional to 325,466,125 and 491,225,907

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Solution

The third proportional to 325,466,125 and 491,225,907 is: 741,407,087.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,466,125 : 491,225,907 = 491,225,907 : x
  2. Step 2: Convert to fraction form
    325,466,125/491,225,907 = 491,225,907/x
  3. Step 3: Cross multiply
    325,466,125x = 491,225,907 × 491,225,907
  4. Step 4: Simplify right side
    325,466,125x = 241,302,891,707,972,640
  5. Step 5: Solve for x
    x = 241,302,891,707,972,640/325,466,125
  6. Step 6: Final answer
    x = 741,407,087.17

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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.