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Finding the Third Proportional to 565,140 and 848,974.50

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Solution

The third proportional to 565,140 and 848,974.50 is: 1,275,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,140 : 848,974.50 = 848,974.50 : x
  2. Step 2: Convert to fraction form
    565,140/848,974.50 = 848,974.50/x
  3. Step 3: Cross multiply
    565,140x = 848,974.50 × 848,974.50
  4. Step 4: Simplify right side
    565,140x = 720,757,701,650.25
  5. Step 5: Solve for x
    x = 720,757,701,650.25/565,140
  6. Step 6: Final answer
    x = 1,275,361.33

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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.