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Finding the Third Proportional to 336,772.69 and 731,674.69

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Solution

The third proportional to 336,772.69 and 731,674.69 is: 1,589,641.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,772.69 : 731,674.69 = 731,674.69 : x
  2. Step 2: Convert to fraction form
    336,772.69/731,674.69 = 731,674.69/x
  3. Step 3: Cross multiply
    336,772.69x = 731,674.69 × 731,674.69
  4. Step 4: Simplify right side
    336,772.69x = 535,347,848,328.22
  5. Step 5: Solve for x
    x = 535,347,848,328.22/336,772.69
  6. Step 6: Final answer
    x = 1,589,641.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.