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Finding the Third Proportional to 404,626 and 625,191

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Solution

The third proportional to 404,626 and 625,191 is: 965,987.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,626 : 625,191 = 625,191 : x
  2. Step 2: Convert to fraction form
    404,626/625,191 = 625,191/x
  3. Step 3: Cross multiply
    404,626x = 625,191 × 625,191
  4. Step 4: Simplify right side
    404,626x = 390,863,786,481
  5. Step 5: Solve for x
    x = 390,863,786,481/404,626
  6. Step 6: Final answer
    x = 965,987.82

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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.