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Finding the Third Proportional to 922.92 and 1,228.50

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Solution

The third proportional to 922.92 and 1,228.50 is: 1,635.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.92 : 1,228.50 = 1,228.50 : x
  2. Step 2: Convert to fraction form
    922.92/1,228.50 = 1,228.50/x
  3. Step 3: Cross multiply
    922.92x = 1,228.50 × 1,228.50
  4. Step 4: Simplify right side
    922.92x = 1,509,212.25
  5. Step 5: Solve for x
    x = 1,509,212.25/922.92
  6. Step 6: Final answer
    x = 1,635.25

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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.