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Finding the Third Proportional to 409,767 and 622,032

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Solution

The third proportional to 409,767 and 622,032 is: 944,253.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,767 : 622,032 = 622,032 : x
  2. Step 2: Convert to fraction form
    409,767/622,032 = 622,032/x
  3. Step 3: Cross multiply
    409,767x = 622,032 × 622,032
  4. Step 4: Simplify right side
    409,767x = 386,923,809,024
  5. Step 5: Solve for x
    x = 386,923,809,024/409,767
  6. Step 6: Final answer
    x = 944,253.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.