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Finding the Third Proportional to 224,704 and 477,112

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Solution

The third proportional to 224,704 and 477,112 is: 1,013,047.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,704 : 477,112 = 477,112 : x
  2. Step 2: Convert to fraction form
    224,704/477,112 = 477,112/x
  3. Step 3: Cross multiply
    224,704x = 477,112 × 477,112
  4. Step 4: Simplify right side
    224,704x = 227,635,860,544
  5. Step 5: Solve for x
    x = 227,635,860,544/224,704
  6. Step 6: Final answer
    x = 1,013,047.66

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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.