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Finding the Third Proportional to 335,719.69 and 471,868.03

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Solution

The third proportional to 335,719.69 and 471,868.03 is: 663,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,719.69 : 471,868.03 = 471,868.03 : x
  2. Step 2: Convert to fraction form
    335,719.69/471,868.03 = 471,868.03/x
  3. Step 3: Cross multiply
    335,719.69x = 471,868.03 × 471,868.03
  4. Step 4: Simplify right side
    335,719.69x = 222,659,438,915.75
  5. Step 5: Solve for x
    x = 222,659,438,915.75/335,719.69
  6. Step 6: Final answer
    x = 663,230.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.