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Finding the Third Proportional to 291,211 and 622,904

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Solution

The third proportional to 291,211 and 622,904 is: 1,332,399.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,211 : 622,904 = 622,904 : x
  2. Step 2: Convert to fraction form
    291,211/622,904 = 622,904/x
  3. Step 3: Cross multiply
    291,211x = 622,904 × 622,904
  4. Step 4: Simplify right side
    291,211x = 388,009,393,216
  5. Step 5: Solve for x
    x = 388,009,393,216/291,211
  6. Step 6: Final answer
    x = 1,332,399.51

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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.