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Finding the Third Proportional to 397,149.75 and 606,116.25

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Solution

The third proportional to 397,149.75 and 606,116.25 is: 925,033.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,149.75 : 606,116.25 = 606,116.25 : x
  2. Step 2: Convert to fraction form
    397,149.75/606,116.25 = 606,116.25/x
  3. Step 3: Cross multiply
    397,149.75x = 606,116.25 × 606,116.25
  4. Step 4: Simplify right side
    397,149.75x = 367,376,908,514.06
  5. Step 5: Solve for x
    x = 367,376,908,514.06/397,149.75
  6. Step 6: Final answer
    x = 925,033.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.