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Finding the Third Proportional to 225,924 and 489,042

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Solution

The third proportional to 225,924 and 489,042 is: 1,058,595.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,924 : 489,042 = 489,042 : x
  2. Step 2: Convert to fraction form
    225,924/489,042 = 489,042/x
  3. Step 3: Cross multiply
    225,924x = 489,042 × 489,042
  4. Step 4: Simplify right side
    225,924x = 239,162,077,764
  5. Step 5: Solve for x
    x = 239,162,077,764/225,924
  6. Step 6: Final answer
    x = 1,058,595.27

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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.