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Finding the Third Proportional to 225,929 and 489,052

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Solution

The third proportional to 225,929 and 489,052 is: 1,058,615.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,929 : 489,052 = 489,052 : x
  2. Step 2: Convert to fraction form
    225,929/489,052 = 489,052/x
  3. Step 3: Cross multiply
    225,929x = 489,052 × 489,052
  4. Step 4: Simplify right side
    225,929x = 239,171,858,704
  5. Step 5: Solve for x
    x = 239,171,858,704/225,929
  6. Step 6: Final answer
    x = 1,058,615.13

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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.