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Finding the Third Proportional to 632,496.38 and 978,301.13

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Solution

The third proportional to 632,496.38 and 978,301.13 is: 1,513,167.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,496.38 : 978,301.13 = 978,301.13 : x
  2. Step 2: Convert to fraction form
    632,496.38/978,301.13 = 978,301.13/x
  3. Step 3: Cross multiply
    632,496.38x = 978,301.13 × 978,301.13
  4. Step 4: Simplify right side
    632,496.38x = 957,073,091,176.27
  5. Step 5: Solve for x
    x = 957,073,091,176.27/632,496.38
  6. Step 6: Final answer
    x = 1,513,167.71

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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.