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Finding the Third Proportional to 241,314.19 and 476,568.56

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Solution

The third proportional to 241,314.19 and 476,568.56 is: 941,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,314.19 : 476,568.56 = 476,568.56 : x
  2. Step 2: Convert to fraction form
    241,314.19/476,568.56 = 476,568.56/x
  3. Step 3: Cross multiply
    241,314.19x = 476,568.56 × 476,568.56
  4. Step 4: Simplify right side
    241,314.19x = 227,117,594,763.32
  5. Step 5: Solve for x
    x = 227,117,594,763.32/241,314.19
  6. Step 6: Final answer
    x = 941,169.67

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.