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Finding the Third Proportional to 294,104 and 622,872

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Solution

The third proportional to 294,104 and 622,872 is: 1,319,157.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,104 : 622,872 = 622,872 : x
  2. Step 2: Convert to fraction form
    294,104/622,872 = 622,872/x
  3. Step 3: Cross multiply
    294,104x = 622,872 × 622,872
  4. Step 4: Simplify right side
    294,104x = 387,969,528,384
  5. Step 5: Solve for x
    x = 387,969,528,384/294,104
  6. Step 6: Final answer
    x = 1,319,157.61

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.