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Finding the Third Proportional to 473,744 and 728,181

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Solution

The third proportional to 473,744 and 728,181 is: 1,119,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,744 : 728,181 = 728,181 : x
  2. Step 2: Convert to fraction form
    473,744/728,181 = 728,181/x
  3. Step 3: Cross multiply
    473,744x = 728,181 × 728,181
  4. Step 4: Simplify right side
    473,744x = 530,247,568,761
  5. Step 5: Solve for x
    x = 530,247,568,761/473,744
  6. Step 6: Final answer
    x = 1,119,270.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.