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Finding the Third Proportional to 199,559 and 433,566

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Solution

The third proportional to 199,559 and 433,566 is: 941,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,559 : 433,566 = 433,566 : x
  2. Step 2: Convert to fraction form
    199,559/433,566 = 433,566/x
  3. Step 3: Cross multiply
    199,559x = 433,566 × 433,566
  4. Step 4: Simplify right side
    199,559x = 187,979,476,356
  5. Step 5: Solve for x
    x = 187,979,476,356/199,559
  6. Step 6: Final answer
    x = 941,974.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.