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Finding the Third Proportional to 847.03 and 1,123.78

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Solution

The third proportional to 847.03 and 1,123.78 is: 1,490.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.03 : 1,123.78 = 1,123.78 : x
  2. Step 2: Convert to fraction form
    847.03/1,123.78 = 1,123.78/x
  3. Step 3: Cross multiply
    847.03x = 1,123.78 × 1,123.78
  4. Step 4: Simplify right side
    847.03x = 1,262,884.30
  5. Step 5: Solve for x
    x = 1,262,884.30/847.03
  6. Step 6: Final answer
    x = 1,490.95

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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.