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Finding the Third Proportional to 284,884 and 612,656

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Solution

The third proportional to 284,884 and 612,656 is: 1,317,544.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,884 : 612,656 = 612,656 : x
  2. Step 2: Convert to fraction form
    284,884/612,656 = 612,656/x
  3. Step 3: Cross multiply
    284,884x = 612,656 × 612,656
  4. Step 4: Simplify right side
    284,884x = 375,347,374,336
  5. Step 5: Solve for x
    x = 375,347,374,336/284,884
  6. Step 6: Final answer
    x = 1,317,544.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.