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Finding the Third Proportional to 276,576 and 603,210

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Solution

The third proportional to 276,576 and 603,210 is: 1,315,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,576 : 603,210 = 603,210 : x
  2. Step 2: Convert to fraction form
    276,576/603,210 = 603,210/x
  3. Step 3: Cross multiply
    276,576x = 603,210 × 603,210
  4. Step 4: Simplify right side
    276,576x = 363,862,304,100
  5. Step 5: Solve for x
    x = 363,862,304,100/276,576
  6. Step 6: Final answer
    x = 1,315,596.09

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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.