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Finding the Third Proportional to 496,908 and 764,696

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Solution

The third proportional to 496,908 and 764,696 is: 1,176,797.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,908 : 764,696 = 764,696 : x
  2. Step 2: Convert to fraction form
    496,908/764,696 = 764,696/x
  3. Step 3: Cross multiply
    496,908x = 764,696 × 764,696
  4. Step 4: Simplify right side
    496,908x = 584,759,972,416
  5. Step 5: Solve for x
    x = 584,759,972,416/496,908
  6. Step 6: Final answer
    x = 1,176,797.26

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.