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Finding the Third Proportional to 276,554 and 603,164

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Solution

The third proportional to 276,554 and 603,164 is: 1,315,500.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,554 : 603,164 = 603,164 : x
  2. Step 2: Convert to fraction form
    276,554/603,164 = 603,164/x
  3. Step 3: Cross multiply
    276,554x = 603,164 × 603,164
  4. Step 4: Simplify right side
    276,554x = 363,806,810,896
  5. Step 5: Solve for x
    x = 363,806,810,896/276,554
  6. Step 6: Final answer
    x = 1,315,500.09

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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.