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Finding the Third Proportional to 199,558 and 433,563

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Solution

The third proportional to 199,558 and 433,563 is: 941,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,558 : 433,563 = 433,563 : x
  2. Step 2: Convert to fraction form
    199,558/433,563 = 433,563/x
  3. Step 3: Cross multiply
    199,558x = 433,563 × 433,563
  4. Step 4: Simplify right side
    199,558x = 187,976,874,969
  5. Step 5: Solve for x
    x = 187,976,874,969/199,558
  6. Step 6: Final answer
    x = 941,966.12

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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.