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Finding the Third Proportional to 235,919.25 and 513,309.75

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Solution

The third proportional to 235,919.25 and 513,309.75 is: 1,116,852.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,919.25 : 513,309.75 = 513,309.75 : x
  2. Step 2: Convert to fraction form
    235,919.25/513,309.75 = 513,309.75/x
  3. Step 3: Cross multiply
    235,919.25x = 513,309.75 × 513,309.75
  4. Step 4: Simplify right side
    235,919.25x = 263,486,899,445.06
  5. Step 5: Solve for x
    x = 263,486,899,445.06/235,919.25
  6. Step 6: Final answer
    x = 1,116,852.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.