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Finding the Third Proportional to 381,751,440 and 605,458,404

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Solution

The third proportional to 381,751,440 and 605,458,404 is: 960,258,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,751,440 : 605,458,404 = 605,458,404 : x
  2. Step 2: Convert to fraction form
    381,751,440/605,458,404 = 605,458,404/x
  3. Step 3: Cross multiply
    381,751,440x = 605,458,404 × 605,458,404
  4. Step 4: Simplify right side
    381,751,440x = 366,579,878,974,227,200
  5. Step 5: Solve for x
    x = 366,579,878,974,227,200/381,751,440
  6. Step 6: Final answer
    x = 960,258,012.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.