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Finding the Third Proportional to 262,326.75 and 694,278.75

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Solution

The third proportional to 262,326.75 and 694,278.75 is: 1,837,490.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,326.75 : 694,278.75 = 694,278.75 : x
  2. Step 2: Convert to fraction form
    262,326.75/694,278.75 = 694,278.75/x
  3. Step 3: Cross multiply
    262,326.75x = 694,278.75 × 694,278.75
  4. Step 4: Simplify right side
    262,326.75x = 482,022,982,701.56
  5. Step 5: Solve for x
    x = 482,022,982,701.56/262,326.75
  6. Step 6: Final answer
    x = 1,837,490.77

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.