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Finding the Third Proportional to 365,082.19 and 798,876

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Solution

The third proportional to 365,082.19 and 798,876 is: 1,748,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,082.19 : 798,876 = 798,876 : x
  2. Step 2: Convert to fraction form
    365,082.19/798,876 = 798,876/x
  3. Step 3: Cross multiply
    365,082.19x = 798,876 × 798,876
  4. Step 4: Simplify right side
    365,082.19x = 638,202,863,376
  5. Step 5: Solve for x
    x = 638,202,863,376/365,082.19
  6. Step 6: Final answer
    x = 1,748,107.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.