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Finding the Third Proportional to 199,540 and 433,992

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Solution

The third proportional to 199,540 and 433,992 is: 943,916.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,540 : 433,992 = 433,992 : x
  2. Step 2: Convert to fraction form
    199,540/433,992 = 433,992/x
  3. Step 3: Cross multiply
    199,540x = 433,992 × 433,992
  4. Step 4: Simplify right side
    199,540x = 188,349,056,064
  5. Step 5: Solve for x
    x = 188,349,056,064/199,540
  6. Step 6: Final answer
    x = 943,916.29

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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.