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Finding the Third Proportional to 284,435 and 609,351

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Solution

The third proportional to 284,435 and 609,351 is: 1,305,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,435 : 609,351 = 609,351 : x
  2. Step 2: Convert to fraction form
    284,435/609,351 = 609,351/x
  3. Step 3: Cross multiply
    284,435x = 609,351 × 609,351
  4. Step 4: Simplify right side
    284,435x = 371,308,641,201
  5. Step 5: Solve for x
    x = 371,308,641,201/284,435
  6. Step 6: Final answer
    x = 1,305,425.29

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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.