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Finding the Third Proportional to 294,344.06 and 635,738.81

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Solution

The third proportional to 294,344.06 and 635,738.81 is: 1,373,100.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,344.06 : 635,738.81 = 635,738.81 : x
  2. Step 2: Convert to fraction form
    294,344.06/635,738.81 = 635,738.81/x
  3. Step 3: Cross multiply
    294,344.06x = 635,738.81 × 635,738.81
  4. Step 4: Simplify right side
    294,344.06x = 404,163,837,718.91
  5. Step 5: Solve for x
    x = 404,163,837,718.91/294,344.06
  6. Step 6: Final answer
    x = 1,373,100.02

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.