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Finding the Third Proportional to 404,077.50 and 633,879

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Solution

The third proportional to 404,077.50 and 633,879 is: 994,370.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,077.50 : 633,879 = 633,879 : x
  2. Step 2: Convert to fraction form
    404,077.50/633,879 = 633,879/x
  3. Step 3: Cross multiply
    404,077.50x = 633,879 × 633,879
  4. Step 4: Simplify right side
    404,077.50x = 401,802,586,641
  5. Step 5: Solve for x
    x = 401,802,586,641/404,077.50
  6. Step 6: Final answer
    x = 994,370.11

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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.