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Finding the Third Proportional to 565,141.50 and 848,976.75

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Solution

The third proportional to 565,141.50 and 848,976.75 is: 1,275,364.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,141.50 : 848,976.75 = 848,976.75 : x
  2. Step 2: Convert to fraction form
    565,141.50/848,976.75 = 848,976.75/x
  3. Step 3: Cross multiply
    565,141.50x = 848,976.75 × 848,976.75
  4. Step 4: Simplify right side
    565,141.50x = 720,761,522,040.56
  5. Step 5: Solve for x
    x = 720,761,522,040.56/565,141.50
  6. Step 6: Final answer
    x = 1,275,364.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.