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Finding the Third Proportional to 268,040,144 and 580,588,742

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Solution

The third proportional to 268,040,144 and 580,588,742 is: 1,257,585,085.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,040,144 : 580,588,742 = 580,588,742 : x
  2. Step 2: Convert to fraction form
    268,040,144/580,588,742 = 580,588,742/x
  3. Step 3: Cross multiply
    268,040,144x = 580,588,742 × 580,588,742
  4. Step 4: Simplify right side
    268,040,144x = 337,083,287,337,142,592
  5. Step 5: Solve for x
    x = 337,083,287,337,142,592/268,040,144
  6. Step 6: Final answer
    x = 1,257,585,085.23

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Why These Related Problems?

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