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Finding the Third Proportional to 280,523.50 and 617,088

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Solution

The third proportional to 280,523.50 and 617,088 is: 1,357,453.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,523.50 : 617,088 = 617,088 : x
  2. Step 2: Convert to fraction form
    280,523.50/617,088 = 617,088/x
  3. Step 3: Cross multiply
    280,523.50x = 617,088 × 617,088
  4. Step 4: Simplify right side
    280,523.50x = 380,797,599,744
  5. Step 5: Solve for x
    x = 380,797,599,744/280,523.50
  6. Step 6: Final answer
    x = 1,357,453.47

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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.