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Finding the Third Proportional to 313,936 and 469,670

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Solution

The third proportional to 313,936 and 469,670 is: 702,658.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,936 : 469,670 = 469,670 : x
  2. Step 2: Convert to fraction form
    313,936/469,670 = 469,670/x
  3. Step 3: Cross multiply
    313,936x = 469,670 × 469,670
  4. Step 4: Simplify right side
    313,936x = 220,589,908,900
  5. Step 5: Solve for x
    x = 220,589,908,900/313,936
  6. Step 6: Final answer
    x = 702,658.85

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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.