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Finding the Third Proportional to 274,400 and 601,270

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Solution

The third proportional to 274,400 and 601,270 is: 1,317,513.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,400 : 601,270 = 601,270 : x
  2. Step 2: Convert to fraction form
    274,400/601,270 = 601,270/x
  3. Step 3: Cross multiply
    274,400x = 601,270 × 601,270
  4. Step 4: Simplify right side
    274,400x = 361,525,612,900
  5. Step 5: Solve for x
    x = 361,525,612,900/274,400
  6. Step 6: Final answer
    x = 1,317,513.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.