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Finding the Third Proportional to 262,315.69 and 401,082.75

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Solution

The third proportional to 262,315.69 and 401,082.75 is: 613,258.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,315.69 : 401,082.75 = 401,082.75 : x
  2. Step 2: Convert to fraction form
    262,315.69/401,082.75 = 401,082.75/x
  3. Step 3: Cross multiply
    262,315.69x = 401,082.75 × 401,082.75
  4. Step 4: Simplify right side
    262,315.69x = 160,867,372,347.56
  5. Step 5: Solve for x
    x = 160,867,372,347.56/262,315.69
  6. Step 6: Final answer
    x = 613,258.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.