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Finding the Third Proportional to 496,618 and 768,817

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Solution

The third proportional to 496,618 and 768,817 is: 1,190,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,618 : 768,817 = 768,817 : x
  2. Step 2: Convert to fraction form
    496,618/768,817 = 768,817/x
  3. Step 3: Cross multiply
    496,618x = 768,817 × 768,817
  4. Step 4: Simplify right side
    496,618x = 591,079,579,489
  5. Step 5: Solve for x
    x = 591,079,579,489/496,618
  6. Step 6: Final answer
    x = 1,190,209.74

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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.