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Finding the Third Proportional to 474 and 1,232.25

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Solution

The third proportional to 474 and 1,232.25 is: 3,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    474 : 1,232.25 = 1,232.25 : x
  2. Step 2: Convert to fraction form
    474/1,232.25 = 1,232.25/x
  3. Step 3: Cross multiply
    474x = 1,232.25 × 1,232.25
  4. Step 4: Simplify right side
    474x = 1,518,440.06
  5. Step 5: Solve for x
    x = 1,518,440.06/474
  6. Step 6: Final answer
    x = 3,203.46

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.