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Finding the Third Proportional to 186,879.75 and 438,729.75

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Solution

The third proportional to 186,879.75 and 438,729.75 is: 1,029,987.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,879.75 : 438,729.75 = 438,729.75 : x
  2. Step 2: Convert to fraction form
    186,879.75/438,729.75 = 438,729.75/x
  3. Step 3: Cross multiply
    186,879.75x = 438,729.75 × 438,729.75
  4. Step 4: Simplify right side
    186,879.75x = 192,483,793,535.06
  5. Step 5: Solve for x
    x = 192,483,793,535.06/186,879.75
  6. Step 6: Final answer
    x = 1,029,987.43

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.