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Finding the Third Proportional to 205,832 and 439,312

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Solution

The third proportional to 205,832 and 439,312 is: 937,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,832 : 439,312 = 439,312 : x
  2. Step 2: Convert to fraction form
    205,832/439,312 = 439,312/x
  3. Step 3: Cross multiply
    205,832x = 439,312 × 439,312
  4. Step 4: Simplify right side
    205,832x = 192,995,033,344
  5. Step 5: Solve for x
    x = 192,995,033,344/205,832
  6. Step 6: Final answer
    x = 937,633.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.