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Finding the Third Proportional to 393,914.25 and 802,255.50

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Solution

The third proportional to 393,914.25 and 802,255.50 is: 1,633,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,914.25 : 802,255.50 = 802,255.50 : x
  2. Step 2: Convert to fraction form
    393,914.25/802,255.50 = 802,255.50/x
  3. Step 3: Cross multiply
    393,914.25x = 802,255.50 × 802,255.50
  4. Step 4: Simplify right side
    393,914.25x = 643,613,887,280.25
  5. Step 5: Solve for x
    x = 643,613,887,280.25/393,914.25
  6. Step 6: Final answer
    x = 1,633,893.38

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.