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Finding the Third Proportional to 247,378 and 534,122

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Solution

The third proportional to 247,378 and 534,122 is: 1,153,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,378 : 534,122 = 534,122 : x
  2. Step 2: Convert to fraction form
    247,378/534,122 = 534,122/x
  3. Step 3: Cross multiply
    247,378x = 534,122 × 534,122
  4. Step 4: Simplify right side
    247,378x = 285,286,310,884
  5. Step 5: Solve for x
    x = 285,286,310,884/247,378
  6. Step 6: Final answer
    x = 1,153,240.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.