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Finding the Third Proportional to 541.27 and 808.31

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Solution

The third proportional to 541.27 and 808.31 is: 1,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.27 : 808.31 = 808.31 : x
  2. Step 2: Convert to fraction form
    541.27/808.31 = 808.31/x
  3. Step 3: Cross multiply
    541.27x = 808.31 × 808.31
  4. Step 4: Simplify right side
    541.27x = 653,369.10
  5. Step 5: Solve for x
    x = 653,369.10/541.27
  6. Step 6: Final answer
    x = 1,207.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.