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Finding the Third Proportional to 511.03 and 815.48

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Solution

The third proportional to 511.03 and 815.48 is: 1,301.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.03 : 815.48 = 815.48 : x
  2. Step 2: Convert to fraction form
    511.03/815.48 = 815.48/x
  3. Step 3: Cross multiply
    511.03x = 815.48 × 815.48
  4. Step 4: Simplify right side
    511.03x = 665,014.77
  5. Step 5: Solve for x
    x = 665,014.77/511.03
  6. Step 6: Final answer
    x = 1,301.32

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.