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Finding the Third Proportional to 565,923 and 848,884.50

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Solution

The third proportional to 565,923 and 848,884.50 is: 1,273,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,923 : 848,884.50 = 848,884.50 : x
  2. Step 2: Convert to fraction form
    565,923/848,884.50 = 848,884.50/x
  3. Step 3: Cross multiply
    565,923x = 848,884.50 × 848,884.50
  4. Step 4: Simplify right side
    565,923x = 720,604,894,340.25
  5. Step 5: Solve for x
    x = 720,604,894,340.25/565,923
  6. Step 6: Final answer
    x = 1,273,326.75

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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.