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Finding the Third Proportional to 522,059 and 694,149

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Solution

The third proportional to 522,059 and 694,149 is: 922,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,059 : 694,149 = 694,149 : x
  2. Step 2: Convert to fraction form
    522,059/694,149 = 694,149/x
  3. Step 3: Cross multiply
    522,059x = 694,149 × 694,149
  4. Step 4: Simplify right side
    522,059x = 481,842,834,201
  5. Step 5: Solve for x
    x = 481,842,834,201/522,059
  6. Step 6: Final answer
    x = 922,966.24

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.