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Finding the Third Proportional to 319,680 and 699,563.25

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Solution

The third proportional to 319,680 and 699,563.25 is: 1,530,870.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,680 : 699,563.25 = 699,563.25 : x
  2. Step 2: Convert to fraction form
    319,680/699,563.25 = 699,563.25/x
  3. Step 3: Cross multiply
    319,680x = 699,563.25 × 699,563.25
  4. Step 4: Simplify right side
    319,680x = 489,388,740,750.56
  5. Step 5: Solve for x
    x = 489,388,740,750.56/319,680
  6. Step 6: Final answer
    x = 1,530,870.69

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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.