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Finding the Third Proportional to 293,245.95 and 642,542.31

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Solution

The third proportional to 293,245.95 and 642,542.31 is: 1,407,898.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,245.95 : 642,542.31 = 642,542.31 : x
  2. Step 2: Convert to fraction form
    293,245.95/642,542.31 = 642,542.31/x
  3. Step 3: Cross multiply
    293,245.95x = 642,542.31 × 642,542.31
  4. Step 4: Simplify right side
    293,245.95x = 412,860,618,332.99
  5. Step 5: Solve for x
    x = 412,860,618,332.99/293,245.95
  6. Step 6: Final answer
    x = 1,407,898.81

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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.