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Finding the Third Proportional to 434,661.75 and 664,908.75

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Solution

The third proportional to 434,661.75 and 664,908.75 is: 1,017,121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,661.75 : 664,908.75 = 664,908.75 : x
  2. Step 2: Convert to fraction form
    434,661.75/664,908.75 = 664,908.75/x
  3. Step 3: Cross multiply
    434,661.75x = 664,908.75 × 664,908.75
  4. Step 4: Simplify right side
    434,661.75x = 442,103,645,826.56
  5. Step 5: Solve for x
    x = 442,103,645,826.56/434,661.75
  6. Step 6: Final answer
    x = 1,017,121.12

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