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Finding the Third Proportional to 416,599 and 622,172

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Solution

The third proportional to 416,599 and 622,172 is: 929,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,599 : 622,172 = 622,172 : x
  2. Step 2: Convert to fraction form
    416,599/622,172 = 622,172/x
  3. Step 3: Cross multiply
    416,599x = 622,172 × 622,172
  4. Step 4: Simplify right side
    416,599x = 387,097,997,584
  5. Step 5: Solve for x
    x = 387,097,997,584/416,599
  6. Step 6: Final answer
    x = 929,186.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.