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Finding the Third Proportional to 422,920.62 and 655,856.37

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Solution

The third proportional to 422,920.62 and 655,856.37 is: 1,017,088.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,920.62 : 655,856.37 = 655,856.37 : x
  2. Step 2: Convert to fraction form
    422,920.62/655,856.37 = 655,856.37/x
  3. Step 3: Cross multiply
    422,920.62x = 655,856.37 × 655,856.37
  4. Step 4: Simplify right side
    422,920.62x = 430,147,574,380.39
  5. Step 5: Solve for x
    x = 430,147,574,380.39/422,920.62
  6. Step 6: Final answer
    x = 1,017,088.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.