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Finding the Third Proportional to 408,480.75 and 655,377.75

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Solution

The third proportional to 408,480.75 and 655,377.75 is: 1,051,506.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,480.75 : 655,377.75 = 655,377.75 : x
  2. Step 2: Convert to fraction form
    408,480.75/655,377.75 = 655,377.75/x
  3. Step 3: Cross multiply
    408,480.75x = 655,377.75 × 655,377.75
  4. Step 4: Simplify right side
    408,480.75x = 429,519,995,195.06
  5. Step 5: Solve for x
    x = 429,519,995,195.06/408,480.75
  6. Step 6: Final answer
    x = 1,051,506.09

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.