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Finding the Third Proportional to 632,494.69 and 978,299.44

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Solution

The third proportional to 632,494.69 and 978,299.44 is: 1,513,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,494.69 : 978,299.44 = 978,299.44 : x
  2. Step 2: Convert to fraction form
    632,494.69/978,299.44 = 978,299.44/x
  3. Step 3: Cross multiply
    632,494.69x = 978,299.44 × 978,299.44
  4. Step 4: Simplify right side
    632,494.69x = 957,069,789,412.82
  5. Step 5: Solve for x
    x = 957,069,789,412.82/632,494.69
  6. Step 6: Final answer
    x = 1,513,166.53

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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.