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Finding the Third Proportional to 404,120 and 633,972

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Solution

The third proportional to 404,120 and 633,972 is: 994,557.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,120 : 633,972 = 633,972 : x
  2. Step 2: Convert to fraction form
    404,120/633,972 = 633,972/x
  3. Step 3: Cross multiply
    404,120x = 633,972 × 633,972
  4. Step 4: Simplify right side
    404,120x = 401,920,496,784
  5. Step 5: Solve for x
    x = 401,920,496,784/404,120
  6. Step 6: Final answer
    x = 994,557.30

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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.