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Finding the Third Proportional to 815.48 and 1,197.49

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Solution

The third proportional to 815.48 and 1,197.49 is: 1,758.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.48 : 1,197.49 = 1,197.49 : x
  2. Step 2: Convert to fraction form
    815.48/1,197.49 = 1,197.49/x
  3. Step 3: Cross multiply
    815.48x = 1,197.49 × 1,197.49
  4. Step 4: Simplify right side
    815.48x = 1,433,987.54
  5. Step 5: Solve for x
    x = 1,433,987.54/815.48
  6. Step 6: Final answer
    x = 1,758.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.