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Finding the Third Proportional to 273,086.44 and 594,043.88

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Solution

The third proportional to 273,086.44 and 594,043.88 is: 1,292,221.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,086.44 : 594,043.88 = 594,043.88 : x
  2. Step 2: Convert to fraction form
    273,086.44/594,043.88 = 594,043.88/x
  3. Step 3: Cross multiply
    273,086.44x = 594,043.88 × 594,043.88
  4. Step 4: Simplify right side
    273,086.44x = 352,888,125,425.02
  5. Step 5: Solve for x
    x = 352,888,125,425.02/273,086.44
  6. Step 6: Final answer
    x = 1,292,221.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.