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Finding the Third Proportional to 474,828 and 734,241

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Solution

The third proportional to 474,828 and 734,241 is: 1,135,379.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,828 : 734,241 = 734,241 : x
  2. Step 2: Convert to fraction form
    474,828/734,241 = 734,241/x
  3. Step 3: Cross multiply
    474,828x = 734,241 × 734,241
  4. Step 4: Simplify right side
    474,828x = 539,109,846,081
  5. Step 5: Solve for x
    x = 539,109,846,081/474,828
  6. Step 6: Final answer
    x = 1,135,379.22

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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.