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Finding the Third Proportional to 565,866 and 848,799

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Solution

The third proportional to 565,866 and 848,799 is: 1,273,198.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,866 : 848,799 = 848,799 : x
  2. Step 2: Convert to fraction form
    565,866/848,799 = 848,799/x
  3. Step 3: Cross multiply
    565,866x = 848,799 × 848,799
  4. Step 4: Simplify right side
    565,866x = 720,459,742,401
  5. Step 5: Solve for x
    x = 720,459,742,401/565,866
  6. Step 6: Final answer
    x = 1,273,198.50

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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.