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Finding the Third Proportional to 313,227 and 474,214.50

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Solution

The third proportional to 313,227 and 474,214.50 is: 717,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,227 : 474,214.50 = 474,214.50 : x
  2. Step 2: Convert to fraction form
    313,227/474,214.50 = 474,214.50/x
  3. Step 3: Cross multiply
    313,227x = 474,214.50 × 474,214.50
  4. Step 4: Simplify right side
    313,227x = 224,879,392,010.25
  5. Step 5: Solve for x
    x = 224,879,392,010.25/313,227
  6. Step 6: Final answer
    x = 717,943.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.