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Finding the Third Proportional to 341,107 and 522,057

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Solution

The third proportional to 341,107 and 522,057 is: 798,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,107 : 522,057 = 522,057 : x
  2. Step 2: Convert to fraction form
    341,107/522,057 = 522,057/x
  3. Step 3: Cross multiply
    341,107x = 522,057 × 522,057
  4. Step 4: Simplify right side
    341,107x = 272,543,511,249
  5. Step 5: Solve for x
    x = 272,543,511,249/341,107
  6. Step 6: Final answer
    x = 798,997.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.