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Finding the Third Proportional to 438.13 and 1,014.31

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Solution

The third proportional to 438.13 and 1,014.31 is: 2,348.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.13 : 1,014.31 = 1,014.31 : x
  2. Step 2: Convert to fraction form
    438.13/1,014.31 = 1,014.31/x
  3. Step 3: Cross multiply
    438.13x = 1,014.31 × 1,014.31
  4. Step 4: Simplify right side
    438.13x = 1,028,829.85
  5. Step 5: Solve for x
    x = 1,028,829.85/438.13
  6. Step 6: Final answer
    x = 2,348.26

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.