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Finding the Third Proportional to 268,040,141 and 580,588,738

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Solution

The third proportional to 268,040,141 and 580,588,738 is: 1,257,585,081.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,040,141 : 580,588,738 = 580,588,738 : x
  2. Step 2: Convert to fraction form
    268,040,141/580,588,738 = 580,588,738/x
  3. Step 3: Cross multiply
    268,040,141x = 580,588,738 × 580,588,738
  4. Step 4: Simplify right side
    268,040,141x = 337,083,282,692,432,640
  5. Step 5: Solve for x
    x = 337,083,282,692,432,640/268,040,141
  6. Step 6: Final answer
    x = 1,257,585,081.98

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.