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Finding the Third Proportional to 280,584.84 and 410,928.19

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Solution

The third proportional to 280,584.84 and 410,928.19 is: 601,821.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,584.84 : 410,928.19 = 410,928.19 : x
  2. Step 2: Convert to fraction form
    280,584.84/410,928.19 = 410,928.19/x
  3. Step 3: Cross multiply
    280,584.84x = 410,928.19 × 410,928.19
  4. Step 4: Simplify right side
    280,584.84x = 168,861,975,282.04
  5. Step 5: Solve for x
    x = 168,861,975,282.04/280,584.84
  6. Step 6: Final answer
    x = 601,821.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.