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Finding the Third Proportional to 422,230 and 654,767

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Solution

The third proportional to 422,230 and 654,767 is: 1,015,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,230 : 654,767 = 654,767 : x
  2. Step 2: Convert to fraction form
    422,230/654,767 = 654,767/x
  3. Step 3: Cross multiply
    422,230x = 654,767 × 654,767
  4. Step 4: Simplify right side
    422,230x = 428,719,824,289
  5. Step 5: Solve for x
    x = 428,719,824,289/422,230
  6. Step 6: Final answer
    x = 1,015,370.35

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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.