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Finding the Third Proportional to 197,974.13 and 466,884

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Solution

The third proportional to 197,974.13 and 466,884 is: 1,101,056.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,974.13 : 466,884 = 466,884 : x
  2. Step 2: Convert to fraction form
    197,974.13/466,884 = 466,884/x
  3. Step 3: Cross multiply
    197,974.13x = 466,884 × 466,884
  4. Step 4: Simplify right side
    197,974.13x = 217,980,669,456
  5. Step 5: Solve for x
    x = 217,980,669,456/197,974.13
  6. Step 6: Final answer
    x = 1,101,056.36

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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.