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Finding the Third Proportional to 275,596.17 and 593,428.78

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Solution

The third proportional to 275,596.17 and 593,428.78 is: 1,277,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,596.17 : 593,428.78 = 593,428.78 : x
  2. Step 2: Convert to fraction form
    275,596.17/593,428.78 = 593,428.78/x
  3. Step 3: Cross multiply
    275,596.17x = 593,428.78 × 593,428.78
  4. Step 4: Simplify right side
    275,596.17x = 352,157,718,415.86
  5. Step 5: Solve for x
    x = 352,157,718,415.86/275,596.17
  6. Step 6: Final answer
    x = 1,277,803.37

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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.