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Finding the Third Proportional to 422,976.75 and 655,265.25

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Solution

The third proportional to 422,976.75 and 655,265.25 is: 1,015,120.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,976.75 : 655,265.25 = 655,265.25 : x
  2. Step 2: Convert to fraction form
    422,976.75/655,265.25 = 655,265.25/x
  3. Step 3: Cross multiply
    422,976.75x = 655,265.25 × 655,265.25
  4. Step 4: Simplify right side
    422,976.75x = 429,372,547,857.56
  5. Step 5: Solve for x
    x = 429,372,547,857.56/422,976.75
  6. Step 6: Final answer
    x = 1,015,120.92

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