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Finding the Third Proportional to 984.66 and 1,497.52

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Solution

The third proportional to 984.66 and 1,497.52 is: 2,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.66 : 1,497.52 = 1,497.52 : x
  2. Step 2: Convert to fraction form
    984.66/1,497.52 = 1,497.52/x
  3. Step 3: Cross multiply
    984.66x = 1,497.52 × 1,497.52
  4. Step 4: Simplify right side
    984.66x = 2,242,553.05
  5. Step 5: Solve for x
    x = 2,242,553.05/984.66
  6. Step 6: Final answer
    x = 2,277.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.