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Finding the Third Proportional to 192,924 and 415,479

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Solution

The third proportional to 192,924 and 415,479 is: 894,771.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,924 : 415,479 = 415,479 : x
  2. Step 2: Convert to fraction form
    192,924/415,479 = 415,479/x
  3. Step 3: Cross multiply
    192,924x = 415,479 × 415,479
  4. Step 4: Simplify right side
    192,924x = 172,622,799,441
  5. Step 5: Solve for x
    x = 172,622,799,441/192,924
  6. Step 6: Final answer
    x = 894,771.00

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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.