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Finding the Third Proportional to 233,227.13 and 489,953.25

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Solution

The third proportional to 233,227.13 and 489,953.25 is: 1,029,272.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,227.13 : 489,953.25 = 489,953.25 : x
  2. Step 2: Convert to fraction form
    233,227.13/489,953.25 = 489,953.25/x
  3. Step 3: Cross multiply
    233,227.13x = 489,953.25 × 489,953.25
  4. Step 4: Simplify right side
    233,227.13x = 240,054,187,185.56
  5. Step 5: Solve for x
    x = 240,054,187,185.56/233,227.13
  6. Step 6: Final answer
    x = 1,029,272.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.