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Finding the Third Proportional to 274,544 and 601,576

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Solution

The third proportional to 274,544 and 601,576 is: 1,318,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,544 : 601,576 = 601,576 : x
  2. Step 2: Convert to fraction form
    274,544/601,576 = 601,576/x
  3. Step 3: Cross multiply
    274,544x = 601,576 × 601,576
  4. Step 4: Simplify right side
    274,544x = 361,893,683,776
  5. Step 5: Solve for x
    x = 361,893,683,776/274,544
  6. Step 6: Final answer
    x = 1,318,162.79

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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.