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Finding the Third Proportional to 319,119.75 and 472,371.75

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Solution

The third proportional to 319,119.75 and 472,371.75 is: 699,220.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,119.75 : 472,371.75 = 472,371.75 : x
  2. Step 2: Convert to fraction form
    319,119.75/472,371.75 = 472,371.75/x
  3. Step 3: Cross multiply
    319,119.75x = 472,371.75 × 472,371.75
  4. Step 4: Simplify right side
    319,119.75x = 223,135,070,198.06
  5. Step 5: Solve for x
    x = 223,135,070,198.06/319,119.75
  6. Step 6: Final answer
    x = 699,220.50

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.