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Finding the Third Proportional to 313,469 and 470,199

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Solution

The third proportional to 313,469 and 470,199 is: 705,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,469 : 470,199 = 470,199 : x
  2. Step 2: Convert to fraction form
    313,469/470,199 = 470,199/x
  3. Step 3: Cross multiply
    313,469x = 470,199 × 470,199
  4. Step 4: Simplify right side
    313,469x = 221,087,099,601
  5. Step 5: Solve for x
    x = 221,087,099,601/313,469
  6. Step 6: Final answer
    x = 705,291.75

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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.