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Finding the Third Proportional to 293,270.63 and 642,598.31

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Solution

The third proportional to 293,270.63 and 642,598.31 is: 1,408,025.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,270.63 : 642,598.31 = 642,598.31 : x
  2. Step 2: Convert to fraction form
    293,270.63/642,598.31 = 642,598.31/x
  3. Step 3: Cross multiply
    293,270.63x = 642,598.31 × 642,598.31
  4. Step 4: Simplify right side
    293,270.63x = 412,932,591,227.85
  5. Step 5: Solve for x
    x = 412,932,591,227.85/293,270.63
  6. Step 6: Final answer
    x = 1,408,025.75

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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.