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Finding the Third Proportional to 224,884 and 483,116

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Solution

The third proportional to 224,884 and 483,116 is: 1,037,873.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,884 : 483,116 = 483,116 : x
  2. Step 2: Convert to fraction form
    224,884/483,116 = 483,116/x
  3. Step 3: Cross multiply
    224,884x = 483,116 × 483,116
  4. Step 4: Simplify right side
    224,884x = 233,401,069,456
  5. Step 5: Solve for x
    x = 233,401,069,456/224,884
  6. Step 6: Final answer
    x = 1,037,873.17

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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.