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Finding the Third Proportional to 538.45 and 1,111.50

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Solution

The third proportional to 538.45 and 1,111.50 is: 2,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.45 : 1,111.50 = 1,111.50 : x
  2. Step 2: Convert to fraction form
    538.45/1,111.50 = 1,111.50/x
  3. Step 3: Cross multiply
    538.45x = 1,111.50 × 1,111.50
  4. Step 4: Simplify right side
    538.45x = 1,235,432.25
  5. Step 5: Solve for x
    x = 1,235,432.25/538.45
  6. Step 6: Final answer
    x = 2,294.41

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.