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Finding the Third Proportional to 225,931 and 489,054

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Solution

The third proportional to 225,931 and 489,054 is: 1,058,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,931 : 489,054 = 489,054 : x
  2. Step 2: Convert to fraction form
    225,931/489,054 = 489,054/x
  3. Step 3: Cross multiply
    225,931x = 489,054 × 489,054
  4. Step 4: Simplify right side
    225,931x = 239,173,814,916
  5. Step 5: Solve for x
    x = 239,173,814,916/225,931
  6. Step 6: Final answer
    x = 1,058,614.42

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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.