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Finding the Third Proportional to 404,092 and 633,900

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Solution

The third proportional to 404,092 and 633,900 is: 994,400.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,092 : 633,900 = 633,900 : x
  2. Step 2: Convert to fraction form
    404,092/633,900 = 633,900/x
  3. Step 3: Cross multiply
    404,092x = 633,900 × 633,900
  4. Step 4: Simplify right side
    404,092x = 401,829,210,000
  5. Step 5: Solve for x
    x = 401,829,210,000/404,092
  6. Step 6: Final answer
    x = 994,400.31

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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.