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Finding the Third Proportional to 198,427 and 468,319

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Solution

The third proportional to 198,427 and 468,319 is: 1,105,306.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,427 : 468,319 = 468,319 : x
  2. Step 2: Convert to fraction form
    198,427/468,319 = 468,319/x
  3. Step 3: Cross multiply
    198,427x = 468,319 × 468,319
  4. Step 4: Simplify right side
    198,427x = 219,322,685,761
  5. Step 5: Solve for x
    x = 219,322,685,761/198,427
  6. Step 6: Final answer
    x = 1,105,306.67

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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.