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Finding the Third Proportional to 568,364 and 848,646

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Solution

The third proportional to 568,364 and 848,646 is: 1,267,145.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,364 : 848,646 = 848,646 : x
  2. Step 2: Convert to fraction form
    568,364/848,646 = 848,646/x
  3. Step 3: Cross multiply
    568,364x = 848,646 × 848,646
  4. Step 4: Simplify right side
    568,364x = 720,200,033,316
  5. Step 5: Solve for x
    x = 720,200,033,316/568,364
  6. Step 6: Final answer
    x = 1,267,145.76

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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.