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Finding the Third Proportional to 1,504.50 and 1,715.25

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Solution

The third proportional to 1,504.50 and 1,715.25 is: 1,955.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,504.50 : 1,715.25 = 1,715.25 : x
  2. Step 2: Convert to fraction form
    1,504.50/1,715.25 = 1,715.25/x
  3. Step 3: Cross multiply
    1,504.50x = 1,715.25 × 1,715.25
  4. Step 4: Simplify right side
    1,504.50x = 2,942,082.56
  5. Step 5: Solve for x
    x = 2,942,082.56/1,504.50
  6. Step 6: Final answer
    x = 1,955.52

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.