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Finding the Third Proportional to 284,229 and 611,469

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Solution

The third proportional to 284,229 and 611,469 is: 1,315,468.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,229 : 611,469 = 611,469 : x
  2. Step 2: Convert to fraction form
    284,229/611,469 = 611,469/x
  3. Step 3: Cross multiply
    284,229x = 611,469 × 611,469
  4. Step 4: Simplify right side
    284,229x = 373,894,337,961
  5. Step 5: Solve for x
    x = 373,894,337,961/284,229
  6. Step 6: Final answer
    x = 1,315,468.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.