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Finding the Third Proportional to 276,534 and 603,126

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Solution

The third proportional to 276,534 and 603,126 is: 1,315,429.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,534 : 603,126 = 603,126 : x
  2. Step 2: Convert to fraction form
    276,534/603,126 = 603,126/x
  3. Step 3: Cross multiply
    276,534x = 603,126 × 603,126
  4. Step 4: Simplify right side
    276,534x = 363,760,971,876
  5. Step 5: Solve for x
    x = 363,760,971,876/276,534
  6. Step 6: Final answer
    x = 1,315,429.47

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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.