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Finding the Third Proportional to 188,724 and 444,882

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Solution

The third proportional to 188,724 and 444,882 is: 1,048,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,724 : 444,882 = 444,882 : x
  2. Step 2: Convert to fraction form
    188,724/444,882 = 444,882/x
  3. Step 3: Cross multiply
    188,724x = 444,882 × 444,882
  4. Step 4: Simplify right side
    188,724x = 197,919,993,924
  5. Step 5: Solve for x
    x = 197,919,993,924/188,724
  6. Step 6: Final answer
    x = 1,048,727.21

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.