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Finding the Third Proportional to 340,251.75 and 513,110.25

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Solution

The third proportional to 340,251.75 and 513,110.25 is: 773,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,251.75 : 513,110.25 = 513,110.25 : x
  2. Step 2: Convert to fraction form
    340,251.75/513,110.25 = 513,110.25/x
  3. Step 3: Cross multiply
    340,251.75x = 513,110.25 × 513,110.25
  4. Step 4: Simplify right side
    340,251.75x = 263,282,128,655.06
  5. Step 5: Solve for x
    x = 263,282,128,655.06/340,251.75
  6. Step 6: Final answer
    x = 773,786.26

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.