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Finding the Third Proportional to 293,674.50 and 467,295.75

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Solution

The third proportional to 293,674.50 and 467,295.75 is: 743,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,674.50 : 467,295.75 = 467,295.75 : x
  2. Step 2: Convert to fraction form
    293,674.50/467,295.75 = 467,295.75/x
  3. Step 3: Cross multiply
    293,674.50x = 467,295.75 × 467,295.75
  4. Step 4: Simplify right side
    293,674.50x = 218,365,317,968.06
  5. Step 5: Solve for x
    x = 218,365,317,968.06/293,674.50
  6. Step 6: Final answer
    x = 743,562.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.