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Finding the Third Proportional to 338,082.19 and 483,426.56

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Solution

The third proportional to 338,082.19 and 483,426.56 is: 691,255.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,082.19 : 483,426.56 = 483,426.56 : x
  2. Step 2: Convert to fraction form
    338,082.19/483,426.56 = 483,426.56/x
  3. Step 3: Cross multiply
    338,082.19x = 483,426.56 × 483,426.56
  4. Step 4: Simplify right side
    338,082.19x = 233,701,241,330.57
  5. Step 5: Solve for x
    x = 233,701,241,330.57/338,082.19
  6. Step 6: Final answer
    x = 691,255.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.