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Finding the Third Proportional to 225,922 and 489,040

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Solution

The third proportional to 225,922 and 489,040 is: 1,058,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,922 : 489,040 = 489,040 : x
  2. Step 2: Convert to fraction form
    225,922/489,040 = 489,040/x
  3. Step 3: Cross multiply
    225,922x = 489,040 × 489,040
  4. Step 4: Simplify right side
    225,922x = 239,160,121,600
  5. Step 5: Solve for x
    x = 239,160,121,600/225,922
  6. Step 6: Final answer
    x = 1,058,595.98

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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.