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Finding the Third Proportional to 926.88 and 1,109.50

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Solution

The third proportional to 926.88 and 1,109.50 is: 1,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.88 : 1,109.50 = 1,109.50 : x
  2. Step 2: Convert to fraction form
    926.88/1,109.50 = 1,109.50/x
  3. Step 3: Cross multiply
    926.88x = 1,109.50 × 1,109.50
  4. Step 4: Simplify right side
    926.88x = 1,230,990.25
  5. Step 5: Solve for x
    x = 1,230,990.25/926.88
  6. Step 6: Final answer
    x = 1,328.11

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.