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Finding the Third Proportional to 284,434 and 609,349

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Solution

The third proportional to 284,434 and 609,349 is: 1,305,421.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,434 : 609,349 = 609,349 : x
  2. Step 2: Convert to fraction form
    284,434/609,349 = 609,349/x
  3. Step 3: Cross multiply
    284,434x = 609,349 × 609,349
  4. Step 4: Simplify right side
    284,434x = 371,306,203,801
  5. Step 5: Solve for x
    x = 371,306,203,801/284,434
  6. Step 6: Final answer
    x = 1,305,421.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.