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Finding the Third Proportional to 276,543 and 603,144

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Solution

The third proportional to 276,543 and 603,144 is: 1,315,465.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,543 : 603,144 = 603,144 : x
  2. Step 2: Convert to fraction form
    276,543/603,144 = 603,144/x
  3. Step 3: Cross multiply
    276,543x = 603,144 × 603,144
  4. Step 4: Simplify right side
    276,543x = 363,782,684,736
  5. Step 5: Solve for x
    x = 363,782,684,736/276,543
  6. Step 6: Final answer
    x = 1,315,465.17

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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.