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Finding the Third Proportional to 205,596 and 438,336

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Solution

The third proportional to 205,596 and 438,336 is: 934,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,596 : 438,336 = 438,336 : x
  2. Step 2: Convert to fraction form
    205,596/438,336 = 438,336/x
  3. Step 3: Cross multiply
    205,596x = 438,336 × 438,336
  4. Step 4: Simplify right side
    205,596x = 192,138,448,896
  5. Step 5: Solve for x
    x = 192,138,448,896/205,596
  6. Step 6: Final answer
    x = 934,543.71

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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.