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Finding the Third Proportional to 295,764.75 and 646,251.75

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Solution

The third proportional to 295,764.75 and 646,251.75 is: 1,412,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,764.75 : 646,251.75 = 646,251.75 : x
  2. Step 2: Convert to fraction form
    295,764.75/646,251.75 = 646,251.75/x
  3. Step 3: Cross multiply
    295,764.75x = 646,251.75 × 646,251.75
  4. Step 4: Simplify right side
    295,764.75x = 417,641,324,378.06
  5. Step 5: Solve for x
    x = 417,641,324,378.06/295,764.75
  6. Step 6: Final answer
    x = 1,412,072.68

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.