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Finding the Third Proportional to 321,139.69 and 699,490.69

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Solution

The third proportional to 321,139.69 and 699,490.69 is: 1,523,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,139.69 : 699,490.69 = 699,490.69 : x
  2. Step 2: Convert to fraction form
    321,139.69/699,490.69 = 699,490.69/x
  3. Step 3: Cross multiply
    321,139.69x = 699,490.69 × 699,490.69
  4. Step 4: Simplify right side
    321,139.69x = 489,287,221,899.22
  5. Step 5: Solve for x
    x = 489,287,221,899.22/321,139.69
  6. Step 6: Final answer
    x = 1,523,596.24

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.