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Finding the Third Proportional to 274,104 and 597,880

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Solution

The third proportional to 274,104 and 597,880 is: 1,304,105.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,104 : 597,880 = 597,880 : x
  2. Step 2: Convert to fraction form
    274,104/597,880 = 597,880/x
  3. Step 3: Cross multiply
    274,104x = 597,880 × 597,880
  4. Step 4: Simplify right side
    274,104x = 357,460,494,400
  5. Step 5: Solve for x
    x = 357,460,494,400/274,104
  6. Step 6: Final answer
    x = 1,304,105.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.