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Finding the Third Proportional to 275,599.50 and 593,434.50

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Solution

The third proportional to 275,599.50 and 593,434.50 is: 1,277,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,599.50 : 593,434.50 = 593,434.50 : x
  2. Step 2: Convert to fraction form
    275,599.50/593,434.50 = 593,434.50/x
  3. Step 3: Cross multiply
    275,599.50x = 593,434.50 × 593,434.50
  4. Step 4: Simplify right side
    275,599.50x = 352,164,505,790.25
  5. Step 5: Solve for x
    x = 352,164,505,790.25/275,599.50
  6. Step 6: Final answer
    x = 1,277,812.57

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Why These Related Problems?

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