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Finding the Third Proportional to 205,392 and 441,444

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Solution

The third proportional to 205,392 and 441,444 is: 948,784.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,392 : 441,444 = 441,444 : x
  2. Step 2: Convert to fraction form
    205,392/441,444 = 441,444/x
  3. Step 3: Cross multiply
    205,392x = 441,444 × 441,444
  4. Step 4: Simplify right side
    205,392x = 194,872,805,136
  5. Step 5: Solve for x
    x = 194,872,805,136/205,392
  6. Step 6: Final answer
    x = 948,784.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.