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Finding the Third Proportional to 197,900 and 466,685

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Solution

The third proportional to 197,900 and 466,685 is: 1,100,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,900 : 466,685 = 466,685 : x
  2. Step 2: Convert to fraction form
    197,900/466,685 = 466,685/x
  3. Step 3: Cross multiply
    197,900x = 466,685 × 466,685
  4. Step 4: Simplify right side
    197,900x = 217,794,889,225
  5. Step 5: Solve for x
    x = 217,794,889,225/197,900
  6. Step 6: Final answer
    x = 1,100,530.01

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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.