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Finding the Third Proportional to 274,576 and 601,640

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Solution

The third proportional to 274,576 and 601,640 is: 1,318,289.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,576 : 601,640 = 601,640 : x
  2. Step 2: Convert to fraction form
    274,576/601,640 = 601,640/x
  3. Step 3: Cross multiply
    274,576x = 601,640 × 601,640
  4. Step 4: Simplify right side
    274,576x = 361,970,689,600
  5. Step 5: Solve for x
    x = 361,970,689,600/274,576
  6. Step 6: Final answer
    x = 1,318,289.62

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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.