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Finding the Third Proportional to 224,696.25 and 489,066.75

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Solution

The third proportional to 224,696.25 and 489,066.75 is: 1,064,487.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,696.25 : 489,066.75 = 489,066.75 : x
  2. Step 2: Convert to fraction form
    224,696.25/489,066.75 = 489,066.75/x
  3. Step 3: Cross multiply
    224,696.25x = 489,066.75 × 489,066.75
  4. Step 4: Simplify right side
    224,696.25x = 239,186,285,955.56
  5. Step 5: Solve for x
    x = 239,186,285,955.56/224,696.25
  6. Step 6: Final answer
    x = 1,064,487.22

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.