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Finding the Third Proportional to 312,208 and 736,168

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Solution

The third proportional to 312,208 and 736,168 is: 1,735,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,208 : 736,168 = 736,168 : x
  2. Step 2: Convert to fraction form
    312,208/736,168 = 736,168/x
  3. Step 3: Cross multiply
    312,208x = 736,168 × 736,168
  4. Step 4: Simplify right side
    312,208x = 541,943,324,224
  5. Step 5: Solve for x
    x = 541,943,324,224/312,208
  6. Step 6: Final answer
    x = 1,735,840.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.