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Finding the Third Proportional to 336,678.75 and 726,771.94

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Solution

The third proportional to 336,678.75 and 726,771.94 is: 1,568,847.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,678.75 : 726,771.94 = 726,771.94 : x
  2. Step 2: Convert to fraction form
    336,678.75/726,771.94 = 726,771.94/x
  3. Step 3: Cross multiply
    336,678.75x = 726,771.94 × 726,771.94
  4. Step 4: Simplify right side
    336,678.75x = 528,197,449,137.50
  5. Step 5: Solve for x
    x = 528,197,449,137.50/336,678.75
  6. Step 6: Final answer
    x = 1,568,847.01

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Why These Related Problems?

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