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Finding the Third Proportional to 225,981 and 470,685.38

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Solution

The third proportional to 225,981 and 470,685.38 is: 980,368.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,981 : 470,685.38 = 470,685.38 : x
  2. Step 2: Convert to fraction form
    225,981/470,685.38 = 470,685.38/x
  3. Step 3: Cross multiply
    225,981x = 470,685.38 × 470,685.38
  4. Step 4: Simplify right side
    225,981x = 221,544,722,238.89
  5. Step 5: Solve for x
    x = 221,544,722,238.89/225,981
  6. Step 6: Final answer
    x = 980,368.80

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.