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Finding the Third Proportional to 568,324 and 848,596

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Solution

The third proportional to 568,324 and 848,596 is: 1,267,085.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,324 : 848,596 = 848,596 : x
  2. Step 2: Convert to fraction form
    568,324/848,596 = 848,596/x
  3. Step 3: Cross multiply
    568,324x = 848,596 × 848,596
  4. Step 4: Simplify right side
    568,324x = 720,115,171,216
  5. Step 5: Solve for x
    x = 720,115,171,216/568,324
  6. Step 6: Final answer
    x = 1,267,085.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.