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Finding the Third Proportional to 224,711 and 483,676

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Solution

The third proportional to 224,711 and 483,676 is: 1,041,081.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,711 : 483,676 = 483,676 : x
  2. Step 2: Convert to fraction form
    224,711/483,676 = 483,676/x
  3. Step 3: Cross multiply
    224,711x = 483,676 × 483,676
  4. Step 4: Simplify right side
    224,711x = 233,942,472,976
  5. Step 5: Solve for x
    x = 233,942,472,976/224,711
  6. Step 6: Final answer
    x = 1,041,081.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.