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Finding the Third Proportional to 302,286 and 659,834

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Solution

The third proportional to 302,286 and 659,834 is: 1,440,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,286 : 659,834 = 659,834 : x
  2. Step 2: Convert to fraction form
    302,286/659,834 = 659,834/x
  3. Step 3: Cross multiply
    302,286x = 659,834 × 659,834
  4. Step 4: Simplify right side
    302,286x = 435,380,907,556
  5. Step 5: Solve for x
    x = 435,380,907,556/302,286
  6. Step 6: Final answer
    x = 1,440,294.65

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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.