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Finding the Third Proportional to 270,896.63 and 593,177.63

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Solution

The third proportional to 270,896.63 and 593,177.63 is: 1,298,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,896.63 : 593,177.63 = 593,177.63 : x
  2. Step 2: Convert to fraction form
    270,896.63/593,177.63 = 593,177.63/x
  3. Step 3: Cross multiply
    270,896.63x = 593,177.63 × 593,177.63
  4. Step 4: Simplify right side
    270,896.63x = 351,859,694,800.64
  5. Step 5: Solve for x
    x = 351,859,694,800.64/270,896.63
  6. Step 6: Final answer
    x = 1,298,870.72

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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.