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Finding the Third Proportional to 197,846 and 466,570

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Solution

The third proportional to 197,846 and 466,570 is: 1,100,287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,846 : 466,570 = 466,570 : x
  2. Step 2: Convert to fraction form
    197,846/466,570 = 466,570/x
  3. Step 3: Cross multiply
    197,846x = 466,570 × 466,570
  4. Step 4: Simplify right side
    197,846x = 217,687,564,900
  5. Step 5: Solve for x
    x = 217,687,564,900/197,846
  6. Step 6: Final answer
    x = 1,100,287.93

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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.