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Finding the Third Proportional to 938.88 and 1,404.95

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Solution

The third proportional to 938.88 and 1,404.95 is: 2,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.88 : 1,404.95 = 1,404.95 : x
  2. Step 2: Convert to fraction form
    938.88/1,404.95 = 1,404.95/x
  3. Step 3: Cross multiply
    938.88x = 1,404.95 × 1,404.95
  4. Step 4: Simplify right side
    938.88x = 1,973,882.31
  5. Step 5: Solve for x
    x = 1,973,882.31/938.88
  6. Step 6: Final answer
    x = 2,102.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.