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Finding the Third Proportional to 274,557.66 and 593,529.47

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Solution

The third proportional to 274,557.66 and 593,529.47 is: 1,283,071.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,557.66 : 593,529.47 = 593,529.47 : x
  2. Step 2: Convert to fraction form
    274,557.66/593,529.47 = 593,529.47/x
  3. Step 3: Cross multiply
    274,557.66x = 593,529.47 × 593,529.47
  4. Step 4: Simplify right side
    274,557.66x = 352,277,230,274.66
  5. Step 5: Solve for x
    x = 352,277,230,274.66/274,557.66
  6. Step 6: Final answer
    x = 1,283,071.96

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Why These Related Problems?

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