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Finding the Third Proportional to 319,754.25 and 683,817.19

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Solution

The third proportional to 319,754.25 and 683,817.19 is: 1,462,391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,754.25 : 683,817.19 = 683,817.19 : x
  2. Step 2: Convert to fraction form
    319,754.25/683,817.19 = 683,817.19/x
  3. Step 3: Cross multiply
    319,754.25x = 683,817.19 × 683,817.19
  4. Step 4: Simplify right side
    319,754.25x = 467,605,945,920.41
  5. Step 5: Solve for x
    x = 467,605,945,920.41/319,754.25
  6. Step 6: Final answer
    x = 1,462,391.65

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.