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Finding the Third Proportional to 503.72 and 1,109.53

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Solution

The third proportional to 503.72 and 1,109.53 is: 2,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.72 : 1,109.53 = 1,109.53 : x
  2. Step 2: Convert to fraction form
    503.72/1,109.53 = 1,109.53/x
  3. Step 3: Cross multiply
    503.72x = 1,109.53 × 1,109.53
  4. Step 4: Simplify right side
    503.72x = 1,231,059.59
  5. Step 5: Solve for x
    x = 1,231,059.59/503.72
  6. Step 6: Final answer
    x = 2,443.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.