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Finding the Third Proportional to 293,673 and 467,293.50

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Solution

The third proportional to 293,673 and 467,293.50 is: 743,559.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,673 : 467,293.50 = 467,293.50 : x
  2. Step 2: Convert to fraction form
    293,673/467,293.50 = 467,293.50/x
  3. Step 3: Cross multiply
    293,673x = 467,293.50 × 467,293.50
  4. Step 4: Simplify right side
    293,673x = 218,363,215,142.25
  5. Step 5: Solve for x
    x = 218,363,215,142.25/293,673
  6. Step 6: Final answer
    x = 743,559.04

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