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Finding the Third Proportional to 285,059 and 614,305

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Solution

The third proportional to 285,059 and 614,305 is: 1,323,833.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,059 : 614,305 = 614,305 : x
  2. Step 2: Convert to fraction form
    285,059/614,305 = 614,305/x
  3. Step 3: Cross multiply
    285,059x = 614,305 × 614,305
  4. Step 4: Simplify right side
    285,059x = 377,370,633,025
  5. Step 5: Solve for x
    x = 377,370,633,025/285,059
  6. Step 6: Final answer
    x = 1,323,833.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.