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Finding the Third Proportional to 422,855 and 655,767

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Solution

The third proportional to 422,855 and 655,767 is: 1,016,968.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,855 : 655,767 = 655,767 : x
  2. Step 2: Convert to fraction form
    422,855/655,767 = 655,767/x
  3. Step 3: Cross multiply
    422,855x = 655,767 × 655,767
  4. Step 4: Simplify right side
    422,855x = 430,030,358,289
  5. Step 5: Solve for x
    x = 430,030,358,289/422,855
  6. Step 6: Final answer
    x = 1,016,968.84

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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.