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Finding the Third Proportional to 501.19 and 1,082.53

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Solution

The third proportional to 501.19 and 1,082.53 is: 2,338.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.19 : 1,082.53 = 1,082.53 : x
  2. Step 2: Convert to fraction form
    501.19/1,082.53 = 1,082.53/x
  3. Step 3: Cross multiply
    501.19x = 1,082.53 × 1,082.53
  4. Step 4: Simplify right side
    501.19x = 1,171,873.91
  5. Step 5: Solve for x
    x = 1,171,873.91/501.19
  6. Step 6: Final answer
    x = 2,338.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.