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Finding the Third Proportional to 197,894 and 466,670

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Solution

The third proportional to 197,894 and 466,670 is: 1,100,492.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,894 : 466,670 = 466,670 : x
  2. Step 2: Convert to fraction form
    197,894/466,670 = 466,670/x
  3. Step 3: Cross multiply
    197,894x = 466,670 × 466,670
  4. Step 4: Simplify right side
    197,894x = 217,780,888,900
  5. Step 5: Solve for x
    x = 217,780,888,900/197,894
  6. Step 6: Final answer
    x = 1,100,492.63

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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.