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Finding the Third Proportional to 336,685.50 and 726,784.50

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Solution

The third proportional to 336,685.50 and 726,784.50 is: 1,568,869.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,685.50 : 726,784.50 = 726,784.50 : x
  2. Step 2: Convert to fraction form
    336,685.50/726,784.50 = 726,784.50/x
  3. Step 3: Cross multiply
    336,685.50x = 726,784.50 × 726,784.50
  4. Step 4: Simplify right side
    336,685.50x = 528,215,709,440.25
  5. Step 5: Solve for x
    x = 528,215,709,440.25/336,685.50
  6. Step 6: Final answer
    x = 1,568,869.79

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.