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Finding the Third Proportional to 284,436 and 609,353

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Solution

The third proportional to 284,436 and 609,353 is: 1,305,429.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,436 : 609,353 = 609,353 : x
  2. Step 2: Convert to fraction form
    284,436/609,353 = 609,353/x
  3. Step 3: Cross multiply
    284,436x = 609,353 × 609,353
  4. Step 4: Simplify right side
    284,436x = 371,311,078,609
  5. Step 5: Solve for x
    x = 371,311,078,609/284,436
  6. Step 6: Final answer
    x = 1,305,429.27

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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.