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Finding the Third Proportional to 333,370.69 and 786,626.44

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Solution

The third proportional to 333,370.69 and 786,626.44 is: 1,856,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,370.69 : 786,626.44 = 786,626.44 : x
  2. Step 2: Convert to fraction form
    333,370.69/786,626.44 = 786,626.44/x
  3. Step 3: Cross multiply
    333,370.69x = 786,626.44 × 786,626.44
  4. Step 4: Simplify right side
    333,370.69x = 618,781,152,173.94
  5. Step 5: Solve for x
    x = 618,781,152,173.94/333,370.69
  6. Step 6: Final answer
    x = 1,856,135.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.