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Finding the Third Proportional to 274,208 and 434,544

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Solution

The third proportional to 274,208 and 434,544 is: 688,632.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,208 : 434,544 = 434,544 : x
  2. Step 2: Convert to fraction form
    274,208/434,544 = 434,544/x
  3. Step 3: Cross multiply
    274,208x = 434,544 × 434,544
  4. Step 4: Simplify right side
    274,208x = 188,828,487,936
  5. Step 5: Solve for x
    x = 188,828,487,936/274,208
  6. Step 6: Final answer
    x = 688,632.31

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.