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Finding the Third Proportional to 319,212.75 and 601,518.75

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Solution

The third proportional to 319,212.75 and 601,518.75 is: 1,133,491.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,212.75 : 601,518.75 = 601,518.75 : x
  2. Step 2: Convert to fraction form
    319,212.75/601,518.75 = 601,518.75/x
  3. Step 3: Cross multiply
    319,212.75x = 601,518.75 × 601,518.75
  4. Step 4: Simplify right side
    319,212.75x = 361,824,806,601.56
  5. Step 5: Solve for x
    x = 361,824,806,601.56/319,212.75
  6. Step 6: Final answer
    x = 1,133,491.09

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These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.