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Finding the Third Proportional to 199,569 and 433,582

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Solution

The third proportional to 199,569 and 433,582 is: 941,996.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,569 : 433,582 = 433,582 : x
  2. Step 2: Convert to fraction form
    199,569/433,582 = 433,582/x
  3. Step 3: Cross multiply
    199,569x = 433,582 × 433,582
  4. Step 4: Simplify right side
    199,569x = 187,993,350,724
  5. Step 5: Solve for x
    x = 187,993,350,724/199,569
  6. Step 6: Final answer
    x = 941,996.76

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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.