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Finding the Third Proportional to 496,446 and 767,136

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Solution

The third proportional to 496,446 and 767,136 is: 1,185,421.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,446 : 767,136 = 767,136 : x
  2. Step 2: Convert to fraction form
    496,446/767,136 = 767,136/x
  3. Step 3: Cross multiply
    496,446x = 767,136 × 767,136
  4. Step 4: Simplify right side
    496,446x = 588,497,642,496
  5. Step 5: Solve for x
    x = 588,497,642,496/496,446
  6. Step 6: Final answer
    x = 1,185,421.26

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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.