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Finding the Third Proportional to 522,057 and 694,146

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Solution

The third proportional to 522,057 and 694,146 is: 922,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,057 : 694,146 = 694,146 : x
  2. Step 2: Convert to fraction form
    522,057/694,146 = 694,146/x
  3. Step 3: Cross multiply
    522,057x = 694,146 × 694,146
  4. Step 4: Simplify right side
    522,057x = 481,838,669,316
  5. Step 5: Solve for x
    x = 481,838,669,316/522,057
  6. Step 6: Final answer
    x = 922,961.80

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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.