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Finding the Third Proportional to 198,662 and 433,024

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Solution

The third proportional to 198,662 and 433,024 is: 943,863.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,662 : 433,024 = 433,024 : x
  2. Step 2: Convert to fraction form
    198,662/433,024 = 433,024/x
  3. Step 3: Cross multiply
    198,662x = 433,024 × 433,024
  4. Step 4: Simplify right side
    198,662x = 187,509,784,576
  5. Step 5: Solve for x
    x = 187,509,784,576/198,662
  6. Step 6: Final answer
    x = 943,863.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.