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Finding the Third Proportional to 183,826 and 404,898

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Solution

The third proportional to 183,826 and 404,898 is: 891,834.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,826 : 404,898 = 404,898 : x
  2. Step 2: Convert to fraction form
    183,826/404,898 = 404,898/x
  3. Step 3: Cross multiply
    183,826x = 404,898 × 404,898
  4. Step 4: Simplify right side
    183,826x = 163,942,390,404
  5. Step 5: Solve for x
    x = 163,942,390,404/183,826
  6. Step 6: Final answer
    x = 891,834.62

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.