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Finding the Third Proportional to 634.88 and 1,203.94

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Solution

The third proportional to 634.88 and 1,203.94 is: 2,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.88 : 1,203.94 = 1,203.94 : x
  2. Step 2: Convert to fraction form
    634.88/1,203.94 = 1,203.94/x
  3. Step 3: Cross multiply
    634.88x = 1,203.94 × 1,203.94
  4. Step 4: Simplify right side
    634.88x = 1,449,465.50
  5. Step 5: Solve for x
    x = 1,449,465.50/634.88
  6. Step 6: Final answer
    x = 2,283.07

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.