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Finding the Third Proportional to 224,703 and 477,108

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Solution

The third proportional to 224,703 and 477,108 is: 1,013,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,703 : 477,108 = 477,108 : x
  2. Step 2: Convert to fraction form
    224,703/477,108 = 477,108/x
  3. Step 3: Cross multiply
    224,703x = 477,108 × 477,108
  4. Step 4: Simplify right side
    224,703x = 227,632,043,664
  5. Step 5: Solve for x
    x = 227,632,043,664/224,703
  6. Step 6: Final answer
    x = 1,013,035.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.