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Finding the Third Proportional to 198,606 and 468,433

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Solution

The third proportional to 198,606 and 468,433 is: 1,104,848.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,606 : 468,433 = 468,433 : x
  2. Step 2: Convert to fraction form
    198,606/468,433 = 468,433/x
  3. Step 3: Cross multiply
    198,606x = 468,433 × 468,433
  4. Step 4: Simplify right side
    198,606x = 219,429,475,489
  5. Step 5: Solve for x
    x = 219,429,475,489/198,606
  6. Step 6: Final answer
    x = 1,104,848.17

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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.