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Finding the Third Proportional to 276,563 and 603,182

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Solution

The third proportional to 276,563 and 603,182 is: 1,315,535.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,563 : 603,182 = 603,182 : x
  2. Step 2: Convert to fraction form
    276,563/603,182 = 603,182/x
  3. Step 3: Cross multiply
    276,563x = 603,182 × 603,182
  4. Step 4: Simplify right side
    276,563x = 363,828,525,124
  5. Step 5: Solve for x
    x = 363,828,525,124/276,563
  6. Step 6: Final answer
    x = 1,315,535.79

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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.