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Finding the Third Proportional to 404,146.13 and 673,548.75

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Solution

The third proportional to 404,146.13 and 673,548.75 is: 1,122,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,146.13 : 673,548.75 = 673,548.75 : x
  2. Step 2: Convert to fraction form
    404,146.13/673,548.75 = 673,548.75/x
  3. Step 3: Cross multiply
    404,146.13x = 673,548.75 × 673,548.75
  4. Step 4: Simplify right side
    404,146.13x = 453,667,918,626.56
  5. Step 5: Solve for x
    x = 453,667,918,626.56/404,146.13
  6. Step 6: Final answer
    x = 1,122,534.38

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.