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Finding the Third Proportional to 284,033 and 612,349

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Solution

The third proportional to 284,033 and 612,349 is: 1,320,168.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,033 : 612,349 = 612,349 : x
  2. Step 2: Convert to fraction form
    284,033/612,349 = 612,349/x
  3. Step 3: Cross multiply
    284,033x = 612,349 × 612,349
  4. Step 4: Simplify right side
    284,033x = 374,971,297,801
  5. Step 5: Solve for x
    x = 374,971,297,801/284,033
  6. Step 6: Final answer
    x = 1,320,168.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.