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Finding the Third Proportional to 224,750 and 482,851

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Solution

The third proportional to 224,750 and 482,851 is: 1,037,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,750 : 482,851 = 482,851 : x
  2. Step 2: Convert to fraction form
    224,750/482,851 = 482,851/x
  3. Step 3: Cross multiply
    224,750x = 482,851 × 482,851
  4. Step 4: Simplify right side
    224,750x = 233,145,088,201
  5. Step 5: Solve for x
    x = 233,145,088,201/224,750
  6. Step 6: Final answer
    x = 1,037,353.01

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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.