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Finding the Third Proportional to 500,238 and 748,980

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Solution

The third proportional to 500,238 and 748,980 is: 1,121,408.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,238 : 748,980 = 748,980 : x
  2. Step 2: Convert to fraction form
    500,238/748,980 = 748,980/x
  3. Step 3: Cross multiply
    500,238x = 748,980 × 748,980
  4. Step 4: Simplify right side
    500,238x = 560,971,040,400
  5. Step 5: Solve for x
    x = 560,971,040,400/500,238
  6. Step 6: Final answer
    x = 1,121,408.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.