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Finding the Third Proportional to 234,966 and 522,252

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Solution

The third proportional to 234,966 and 522,252 is: 1,160,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,966 : 522,252 = 522,252 : x
  2. Step 2: Convert to fraction form
    234,966/522,252 = 522,252/x
  3. Step 3: Cross multiply
    234,966x = 522,252 × 522,252
  4. Step 4: Simplify right side
    234,966x = 272,747,151,504
  5. Step 5: Solve for x
    x = 272,747,151,504/234,966
  6. Step 6: Final answer
    x = 1,160,794.12

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.