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Finding the Third Proportional to 506.25 and 1,197.28

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Solution

The third proportional to 506.25 and 1,197.28 is: 2,831.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.25 : 1,197.28 = 1,197.28 : x
  2. Step 2: Convert to fraction form
    506.25/1,197.28 = 1,197.28/x
  3. Step 3: Cross multiply
    506.25x = 1,197.28 × 1,197.28
  4. Step 4: Simplify right side
    506.25x = 1,433,482.39
  5. Step 5: Solve for x
    x = 1,433,482.39/506.25
  6. Step 6: Final answer
    x = 2,831.57

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.