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Finding the Third Proportional to 291,215 and 622,912

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Solution

The third proportional to 291,215 and 622,912 is: 1,332,415.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,215 : 622,912 = 622,912 : x
  2. Step 2: Convert to fraction form
    291,215/622,912 = 622,912/x
  3. Step 3: Cross multiply
    291,215x = 622,912 × 622,912
  4. Step 4: Simplify right side
    291,215x = 388,019,359,744
  5. Step 5: Solve for x
    x = 388,019,359,744/291,215
  6. Step 6: Final answer
    x = 1,332,415.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.