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Finding the Third Proportional to 226,870 and 489,095

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Solution

The third proportional to 226,870 and 489,095 is: 1,054,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,870 : 489,095 = 489,095 : x
  2. Step 2: Convert to fraction form
    226,870/489,095 = 489,095/x
  3. Step 3: Cross multiply
    226,870x = 489,095 × 489,095
  4. Step 4: Simplify right side
    226,870x = 239,213,919,025
  5. Step 5: Solve for x
    x = 239,213,919,025/226,870
  6. Step 6: Final answer
    x = 1,054,409.66

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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.