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Finding the Third Proportional to 313,280 and 470,016

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Solution

The third proportional to 313,280 and 470,016 is: 705,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,280 : 470,016 = 470,016 : x
  2. Step 2: Convert to fraction form
    313,280/470,016 = 470,016/x
  3. Step 3: Cross multiply
    313,280x = 470,016 × 470,016
  4. Step 4: Simplify right side
    313,280x = 220,915,040,256
  5. Step 5: Solve for x
    x = 220,915,040,256/313,280
  6. Step 6: Final answer
    x = 705,168.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.