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Finding the Third Proportional to 319,801.50 and 699,779.25

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Solution

The third proportional to 319,801.50 and 699,779.25 is: 1,531,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,801.50 : 699,779.25 = 699,779.25 : x
  2. Step 2: Convert to fraction form
    319,801.50/699,779.25 = 699,779.25/x
  3. Step 3: Cross multiply
    319,801.50x = 699,779.25 × 699,779.25
  4. Step 4: Simplify right side
    319,801.50x = 489,690,998,730.56
  5. Step 5: Solve for x
    x = 489,690,998,730.56/319,801.50
  6. Step 6: Final answer
    x = 1,531,234.21

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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.