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Finding the Third Proportional to 332,922 and 514,923

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Solution

The third proportional to 332,922 and 514,923 is: 796,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,922 : 514,923 = 514,923 : x
  2. Step 2: Convert to fraction form
    332,922/514,923 = 514,923/x
  3. Step 3: Cross multiply
    332,922x = 514,923 × 514,923
  4. Step 4: Simplify right side
    332,922x = 265,145,695,929
  5. Step 5: Solve for x
    x = 265,145,695,929/332,922
  6. Step 6: Final answer
    x = 796,419.87

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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.