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Finding the Third Proportional to 224,716 and 494,624

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Solution

The third proportional to 224,716 and 494,624 is: 1,088,720.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,716 : 494,624 = 494,624 : x
  2. Step 2: Convert to fraction form
    224,716/494,624 = 494,624/x
  3. Step 3: Cross multiply
    224,716x = 494,624 × 494,624
  4. Step 4: Simplify right side
    224,716x = 244,652,901,376
  5. Step 5: Solve for x
    x = 244,652,901,376/224,716
  6. Step 6: Final answer
    x = 1,088,720.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.