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Finding the Third Proportional to 345,115,502 and 485,428,005

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Solution

The third proportional to 345,115,502 and 485,428,005 is: 682,786,912.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,115,502 : 485,428,005 = 485,428,005 : x
  2. Step 2: Convert to fraction form
    345,115,502/485,428,005 = 485,428,005/x
  3. Step 3: Cross multiply
    345,115,502x = 485,428,005 × 485,428,005
  4. Step 4: Simplify right side
    345,115,502x = 235,640,348,038,280,032
  5. Step 5: Solve for x
    x = 235,640,348,038,280,032/345,115,502
  6. Step 6: Final answer
    x = 682,786,912.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.