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Finding the Third Proportional to 226,871 and 489,097

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Solution

The third proportional to 226,871 and 489,097 is: 1,054,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,871 : 489,097 = 489,097 : x
  2. Step 2: Convert to fraction form
    226,871/489,097 = 489,097/x
  3. Step 3: Cross multiply
    226,871x = 489,097 × 489,097
  4. Step 4: Simplify right side
    226,871x = 239,215,875,409
  5. Step 5: Solve for x
    x = 239,215,875,409/226,871
  6. Step 6: Final answer
    x = 1,054,413.63

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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.