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Finding the Third Proportional to 234,108 and 552,420

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Solution

The third proportional to 234,108 and 552,420 is: 1,303,534.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,108 : 552,420 = 552,420 : x
  2. Step 2: Convert to fraction form
    234,108/552,420 = 552,420/x
  3. Step 3: Cross multiply
    234,108x = 552,420 × 552,420
  4. Step 4: Simplify right side
    234,108x = 305,167,856,400
  5. Step 5: Solve for x
    x = 305,167,856,400/234,108
  6. Step 6: Final answer
    x = 1,303,534.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.