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Finding the Third Proportional to 414,785.50 and 659,538

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Solution

The third proportional to 414,785.50 and 659,538 is: 1,048,711.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,785.50 : 659,538 = 659,538 : x
  2. Step 2: Convert to fraction form
    414,785.50/659,538 = 659,538/x
  3. Step 3: Cross multiply
    414,785.50x = 659,538 × 659,538
  4. Step 4: Simplify right side
    414,785.50x = 434,990,373,444
  5. Step 5: Solve for x
    x = 434,990,373,444/414,785.50
  6. Step 6: Final answer
    x = 1,048,711.62

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.