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Finding the Third Proportional to 302,309 and 659,050

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Solution

The third proportional to 302,309 and 659,050 is: 1,436,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,309 : 659,050 = 659,050 : x
  2. Step 2: Convert to fraction form
    302,309/659,050 = 659,050/x
  3. Step 3: Cross multiply
    302,309x = 659,050 × 659,050
  4. Step 4: Simplify right side
    302,309x = 434,346,902,500
  5. Step 5: Solve for x
    x = 434,346,902,500/302,309
  6. Step 6: Final answer
    x = 1,436,764.71

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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.