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Finding the Third Proportional to 474.50 and 1,099.50

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Solution

The third proportional to 474.50 and 1,099.50 is: 2,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.50 : 1,099.50 = 1,099.50 : x
  2. Step 2: Convert to fraction form
    474.50/1,099.50 = 1,099.50/x
  3. Step 3: Cross multiply
    474.50x = 1,099.50 × 1,099.50
  4. Step 4: Simplify right side
    474.50x = 1,208,900.25
  5. Step 5: Solve for x
    x = 1,208,900.25/474.50
  6. Step 6: Final answer
    x = 2,547.73

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.