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Finding the Third Proportional to 302,284 and 659,830

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Solution

The third proportional to 302,284 and 659,830 is: 1,440,286.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,284 : 659,830 = 659,830 : x
  2. Step 2: Convert to fraction form
    302,284/659,830 = 659,830/x
  3. Step 3: Cross multiply
    302,284x = 659,830 × 659,830
  4. Step 4: Simplify right side
    302,284x = 435,375,628,900
  5. Step 5: Solve for x
    x = 435,375,628,900/302,284
  6. Step 6: Final answer
    x = 1,440,286.71

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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.