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Finding the Third Proportional to 225,504 and 489,888

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Solution

The third proportional to 225,504 and 489,888 is: 1,064,239.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,504 : 489,888 = 489,888 : x
  2. Step 2: Convert to fraction form
    225,504/489,888 = 489,888/x
  3. Step 3: Cross multiply
    225,504x = 489,888 × 489,888
  4. Step 4: Simplify right side
    225,504x = 239,990,252,544
  5. Step 5: Solve for x
    x = 239,990,252,544/225,504
  6. Step 6: Final answer
    x = 1,064,239.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.