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Finding the Third Proportional to 411,286 and 622,114

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Solution

The third proportional to 411,286 and 622,114 is: 941,013.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,286 : 622,114 = 622,114 : x
  2. Step 2: Convert to fraction form
    411,286/622,114 = 622,114/x
  3. Step 3: Cross multiply
    411,286x = 622,114 × 622,114
  4. Step 4: Simplify right side
    411,286x = 387,025,828,996
  5. Step 5: Solve for x
    x = 387,025,828,996/411,286
  6. Step 6: Final answer
    x = 941,013.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.