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Finding the Third Proportional to 282,256 and 610,016

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Solution

The third proportional to 282,256 and 610,016 is: 1,318,375.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,256 : 610,016 = 610,016 : x
  2. Step 2: Convert to fraction form
    282,256/610,016 = 610,016/x
  3. Step 3: Cross multiply
    282,256x = 610,016 × 610,016
  4. Step 4: Simplify right side
    282,256x = 372,119,520,256
  5. Step 5: Solve for x
    x = 372,119,520,256/282,256
  6. Step 6: Final answer
    x = 1,318,375.94

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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.