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Finding the Third Proportional to 315,022.50 and 467,592

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Solution

The third proportional to 315,022.50 and 467,592 is: 694,052.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,022.50 : 467,592 = 467,592 : x
  2. Step 2: Convert to fraction form
    315,022.50/467,592 = 467,592/x
  3. Step 3: Cross multiply
    315,022.50x = 467,592 × 467,592
  4. Step 4: Simplify right side
    315,022.50x = 218,642,278,464
  5. Step 5: Solve for x
    x = 218,642,278,464/315,022.50
  6. Step 6: Final answer
    x = 694,052.90

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.