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Finding the Third Proportional to 339,838.50 and 793,705.50

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Solution

The third proportional to 339,838.50 and 793,705.50 is: 1,853,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,838.50 : 793,705.50 = 793,705.50 : x
  2. Step 2: Convert to fraction form
    339,838.50/793,705.50 = 793,705.50/x
  3. Step 3: Cross multiply
    339,838.50x = 793,705.50 × 793,705.50
  4. Step 4: Simplify right side
    339,838.50x = 629,968,420,730.25
  5. Step 5: Solve for x
    x = 629,968,420,730.25/339,838.50
  6. Step 6: Final answer
    x = 1,853,728.82

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.