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Finding the Third Proportional to 565,787 and 768,846

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Solution

The third proportional to 565,787 and 768,846 is: 1,044,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,787 : 768,846 = 768,846 : x
  2. Step 2: Convert to fraction form
    565,787/768,846 = 768,846/x
  3. Step 3: Cross multiply
    565,787x = 768,846 × 768,846
  4. Step 4: Simplify right side
    565,787x = 591,124,171,716
  5. Step 5: Solve for x
    x = 591,124,171,716/565,787
  6. Step 6: Final answer
    x = 1,044,782.17

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.