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Finding the Third Proportional to 336,853.69 and 505,280.53

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Solution

The third proportional to 336,853.69 and 505,280.53 is: 757,920.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,853.69 : 505,280.53 = 505,280.53 : x
  2. Step 2: Convert to fraction form
    336,853.69/505,280.53 = 505,280.53/x
  3. Step 3: Cross multiply
    336,853.69x = 505,280.53 × 505,280.53
  4. Step 4: Simplify right side
    336,853.69x = 255,308,415,260.28
  5. Step 5: Solve for x
    x = 255,308,415,260.28/336,853.69
  6. Step 6: Final answer
    x = 757,920.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.