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Finding the Third Proportional to 280,596.75 and 617,268.75

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Solution

The third proportional to 280,596.75 and 617,268.75 is: 1,357,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,596.75 : 617,268.75 = 617,268.75 : x
  2. Step 2: Convert to fraction form
    280,596.75/617,268.75 = 617,268.75/x
  3. Step 3: Cross multiply
    280,596.75x = 617,268.75 × 617,268.75
  4. Step 4: Simplify right side
    280,596.75x = 381,020,709,726.56
  5. Step 5: Solve for x
    x = 381,020,709,726.56/280,596.75
  6. Step 6: Final answer
    x = 1,357,894.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.