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Finding the Third Proportional to 225,926 and 489,044

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Solution

The third proportional to 225,926 and 489,044 is: 1,058,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,926 : 489,044 = 489,044 : x
  2. Step 2: Convert to fraction form
    225,926/489,044 = 489,044/x
  3. Step 3: Cross multiply
    225,926x = 489,044 × 489,044
  4. Step 4: Simplify right side
    225,926x = 239,164,033,936
  5. Step 5: Solve for x
    x = 239,164,033,936/225,926
  6. Step 6: Final answer
    x = 1,058,594.56

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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.