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Finding the Third Proportional to 291,213.50 and 622,908

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Solution

The third proportional to 291,213.50 and 622,908 is: 1,332,405.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,213.50 : 622,908 = 622,908 : x
  2. Step 2: Convert to fraction form
    291,213.50/622,908 = 622,908/x
  3. Step 3: Cross multiply
    291,213.50x = 622,908 × 622,908
  4. Step 4: Simplify right side
    291,213.50x = 388,014,376,464
  5. Step 5: Solve for x
    x = 388,014,376,464/291,213.50
  6. Step 6: Final answer
    x = 1,332,405.18

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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.