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Finding the Third Proportional to 205,833 and 439,314

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Solution

The third proportional to 205,833 and 439,314 is: 937,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,833 : 439,314 = 439,314 : x
  2. Step 2: Convert to fraction form
    205,833/439,314 = 439,314/x
  3. Step 3: Cross multiply
    205,833x = 439,314 × 439,314
  4. Step 4: Simplify right side
    205,833x = 192,996,790,596
  5. Step 5: Solve for x
    x = 192,996,790,596/205,833
  6. Step 6: Final answer
    x = 937,637.75

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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.