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Finding the Third Proportional to 294,378.75 and 633,863.81

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Solution

The third proportional to 294,378.75 and 633,863.81 is: 1,364,851.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,378.75 : 633,863.81 = 633,863.81 : x
  2. Step 2: Convert to fraction form
    294,378.75/633,863.81 = 633,863.81/x
  3. Step 3: Cross multiply
    294,378.75x = 633,863.81 × 633,863.81
  4. Step 4: Simplify right side
    294,378.75x = 401,783,332,797.04
  5. Step 5: Solve for x
    x = 401,783,332,797.04/294,378.75
  6. Step 6: Final answer
    x = 1,364,851.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.