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Finding the Third Proportional to 284,286 and 588,699

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Solution

The third proportional to 284,286 and 588,699 is: 1,219,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,286 : 588,699 = 588,699 : x
  2. Step 2: Convert to fraction form
    284,286/588,699 = 588,699/x
  3. Step 3: Cross multiply
    284,286x = 588,699 × 588,699
  4. Step 4: Simplify right side
    284,286x = 346,566,512,601
  5. Step 5: Solve for x
    x = 346,566,512,601/284,286
  6. Step 6: Final answer
    x = 1,219,076.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.