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Finding the Third Proportional to 786.38 and 1,047.94

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Solution

The third proportional to 786.38 and 1,047.94 is: 1,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.38 : 1,047.94 = 1,047.94 : x
  2. Step 2: Convert to fraction form
    786.38/1,047.94 = 1,047.94/x
  3. Step 3: Cross multiply
    786.38x = 1,047.94 × 1,047.94
  4. Step 4: Simplify right side
    786.38x = 1,098,173.00
  5. Step 5: Solve for x
    x = 1,098,173.00/786.38
  6. Step 6: Final answer
    x = 1,396.50

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.