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Finding the Third Proportional to 225,927 and 489,045

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Solution

The third proportional to 225,927 and 489,045 is: 1,058,594.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,927 : 489,045 = 489,045 : x
  2. Step 2: Convert to fraction form
    225,927/489,045 = 489,045/x
  3. Step 3: Cross multiply
    225,927x = 489,045 × 489,045
  4. Step 4: Simplify right side
    225,927x = 239,165,012,025
  5. Step 5: Solve for x
    x = 239,165,012,025/225,927
  6. Step 6: Final answer
    x = 1,058,594.20

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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.