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Finding the Third Proportional to 422,975 and 655,361

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Solution

The third proportional to 422,975 and 655,361 is: 1,015,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,975 : 655,361 = 655,361 : x
  2. Step 2: Convert to fraction form
    422,975/655,361 = 655,361/x
  3. Step 3: Cross multiply
    422,975x = 655,361 × 655,361
  4. Step 4: Simplify right side
    422,975x = 429,498,040,321
  5. Step 5: Solve for x
    x = 429,498,040,321/422,975
  6. Step 6: Final answer
    x = 1,015,421.81

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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.