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Finding the Third Proportional to 197,722 and 466,552

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Solution

The third proportional to 197,722 and 466,552 is: 1,100,893.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,722 : 466,552 = 466,552 : x
  2. Step 2: Convert to fraction form
    197,722/466,552 = 466,552/x
  3. Step 3: Cross multiply
    197,722x = 466,552 × 466,552
  4. Step 4: Simplify right side
    197,722x = 217,670,768,704
  5. Step 5: Solve for x
    x = 217,670,768,704/197,722
  6. Step 6: Final answer
    x = 1,100,893.01

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.