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Finding the Third Proportional to 862.17 and 1,014.05

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Solution

The third proportional to 862.17 and 1,014.05 is: 1,192.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.17 : 1,014.05 = 1,014.05 : x
  2. Step 2: Convert to fraction form
    862.17/1,014.05 = 1,014.05/x
  3. Step 3: Cross multiply
    862.17x = 1,014.05 × 1,014.05
  4. Step 4: Simplify right side
    862.17x = 1,028,291.06
  5. Step 5: Solve for x
    x = 1,028,291.06/862.17
  6. Step 6: Final answer
    x = 1,192.68

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.