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Finding the Third Proportional to 337,936 and 717,152

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Solution

The third proportional to 337,936 and 717,152 is: 1,521,906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,936 : 717,152 = 717,152 : x
  2. Step 2: Convert to fraction form
    337,936/717,152 = 717,152/x
  3. Step 3: Cross multiply
    337,936x = 717,152 × 717,152
  4. Step 4: Simplify right side
    337,936x = 514,306,991,104
  5. Step 5: Solve for x
    x = 514,306,991,104/337,936
  6. Step 6: Final answer
    x = 1,521,906.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.