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Finding the Third Proportional to 496,624 and 768,827

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Solution

The third proportional to 496,624 and 768,827 is: 1,190,226.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,624 : 768,827 = 768,827 : x
  2. Step 2: Convert to fraction form
    496,624/768,827 = 768,827/x
  3. Step 3: Cross multiply
    496,624x = 768,827 × 768,827
  4. Step 4: Simplify right side
    496,624x = 591,094,955,929
  5. Step 5: Solve for x
    x = 591,094,955,929/496,624
  6. Step 6: Final answer
    x = 1,190,226.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.