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Finding the Third Proportional to 401,596 and 622,176

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Solution

The third proportional to 401,596 and 622,176 is: 963,911.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,596 : 622,176 = 622,176 : x
  2. Step 2: Convert to fraction form
    401,596/622,176 = 622,176/x
  3. Step 3: Cross multiply
    401,596x = 622,176 × 622,176
  4. Step 4: Simplify right side
    401,596x = 387,102,974,976
  5. Step 5: Solve for x
    x = 387,102,974,976/401,596
  6. Step 6: Final answer
    x = 963,911.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.