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Finding the Third Proportional to 404,076 and 633,906

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Solution

The third proportional to 404,076 and 633,906 is: 994,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,076 : 633,906 = 633,906 : x
  2. Step 2: Convert to fraction form
    404,076/633,906 = 633,906/x
  3. Step 3: Cross multiply
    404,076x = 633,906 × 633,906
  4. Step 4: Simplify right side
    404,076x = 401,836,816,836
  5. Step 5: Solve for x
    x = 401,836,816,836/404,076
  6. Step 6: Final answer
    x = 994,458.51

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.