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Finding the Third Proportional to 284,016 and 612,318

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Solution

The third proportional to 284,016 and 612,318 is: 1,320,113.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,016 : 612,318 = 612,318 : x
  2. Step 2: Convert to fraction form
    284,016/612,318 = 612,318/x
  3. Step 3: Cross multiply
    284,016x = 612,318 × 612,318
  4. Step 4: Simplify right side
    284,016x = 374,933,333,124
  5. Step 5: Solve for x
    x = 374,933,333,124/284,016
  6. Step 6: Final answer
    x = 1,320,113.42

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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.