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Finding the Third Proportional to 302,330 and 659,923

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Solution

The third proportional to 302,330 and 659,923 is: 1,440,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,330 : 659,923 = 659,923 : x
  2. Step 2: Convert to fraction form
    302,330/659,923 = 659,923/x
  3. Step 3: Cross multiply
    302,330x = 659,923 × 659,923
  4. Step 4: Simplify right side
    302,330x = 435,498,365,929
  5. Step 5: Solve for x
    x = 435,498,365,929/302,330
  6. Step 6: Final answer
    x = 1,440,473.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.