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Finding the Third Proportional to 230,434.50 and 470,016.75

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Solution

The third proportional to 230,434.50 and 470,016.75 is: 958,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,434.50 : 470,016.75 = 470,016.75 : x
  2. Step 2: Convert to fraction form
    230,434.50/470,016.75 = 470,016.75/x
  3. Step 3: Cross multiply
    230,434.50x = 470,016.75 × 470,016.75
  4. Step 4: Simplify right side
    230,434.50x = 220,915,745,280.56
  5. Step 5: Solve for x
    x = 220,915,745,280.56/230,434.50
  6. Step 6: Final answer
    x = 958,692.15

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.