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Finding the Third Proportional to 199,538 and 433,988

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Solution

The third proportional to 199,538 and 433,988 is: 943,908.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,538 : 433,988 = 433,988 : x
  2. Step 2: Convert to fraction form
    199,538/433,988 = 433,988/x
  3. Step 3: Cross multiply
    199,538x = 433,988 × 433,988
  4. Step 4: Simplify right side
    199,538x = 188,345,584,144
  5. Step 5: Solve for x
    x = 188,345,584,144/199,538
  6. Step 6: Final answer
    x = 943,908.35

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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.