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Finding the Third Proportional to 655,269.75 and 1,401,648.75

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Solution

The third proportional to 655,269.75 and 1,401,648.75 is: 2,998,183.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,269.75 : 1,401,648.75 = 1,401,648.75 : x
  2. Step 2: Convert to fraction form
    655,269.75/1,401,648.75 = 1,401,648.75/x
  3. Step 3: Cross multiply
    655,269.75x = 1,401,648.75 × 1,401,648.75
  4. Step 4: Simplify right side
    655,269.75x = 1,964,619,218,376.56
  5. Step 5: Solve for x
    x = 1,964,619,218,376.56/655,269.75
  6. Step 6: Final answer
    x = 2,998,183.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.