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Finding the Third Proportional to 437.91 and 938.36

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Solution

The third proportional to 437.91 and 938.36 is: 2,010.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.91 : 938.36 = 938.36 : x
  2. Step 2: Convert to fraction form
    437.91/938.36 = 938.36/x
  3. Step 3: Cross multiply
    437.91x = 938.36 × 938.36
  4. Step 4: Simplify right side
    437.91x = 880,510.99
  5. Step 5: Solve for x
    x = 880,510.99/437.91
  6. Step 6: Final answer
    x = 2,010.73

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.