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Finding the Third Proportional to 514.31 and 815.06

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Solution

The third proportional to 514.31 and 815.06 is: 1,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.31 : 815.06 = 815.06 : x
  2. Step 2: Convert to fraction form
    514.31/815.06 = 815.06/x
  3. Step 3: Cross multiply
    514.31x = 815.06 × 815.06
  4. Step 4: Simplify right side
    514.31x = 664,326.88
  5. Step 5: Solve for x
    x = 664,326.88/514.31
  6. Step 6: Final answer
    x = 1,291.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.