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Finding the Third Proportional to 284,118 and 612,516

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Solution

The third proportional to 284,118 and 612,516 is: 1,320,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,118 : 612,516 = 612,516 : x
  2. Step 2: Convert to fraction form
    284,118/612,516 = 612,516/x
  3. Step 3: Cross multiply
    284,118x = 612,516 × 612,516
  4. Step 4: Simplify right side
    284,118x = 375,175,850,256
  5. Step 5: Solve for x
    x = 375,175,850,256/284,118
  6. Step 6: Final answer
    x = 1,320,493.07

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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.