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Finding the Third Proportional to 197,860 and 466,598

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Solution

The third proportional to 197,860 and 466,598 is: 1,100,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,860 : 466,598 = 466,598 : x
  2. Step 2: Convert to fraction form
    197,860/466,598 = 466,598/x
  3. Step 3: Cross multiply
    197,860x = 466,598 × 466,598
  4. Step 4: Simplify right side
    197,860x = 217,713,693,604
  5. Step 5: Solve for x
    x = 217,713,693,604/197,860
  6. Step 6: Final answer
    x = 1,100,342.13

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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.