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Finding the Third Proportional to 404,394.75 and 634,321.13

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Solution

The third proportional to 404,394.75 and 634,321.13 is: 994,976.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,394.75 : 634,321.13 = 634,321.13 : x
  2. Step 2: Convert to fraction form
    404,394.75/634,321.13 = 634,321.13/x
  3. Step 3: Cross multiply
    404,394.75x = 634,321.13 × 634,321.13
  4. Step 4: Simplify right side
    404,394.75x = 402,363,289,621.27
  5. Step 5: Solve for x
    x = 402,363,289,621.27/404,394.75
  6. Step 6: Final answer
    x = 994,976.54

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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.