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Finding the Third Proportional to 280,194 and 608,016

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Solution

The third proportional to 280,194 and 608,016 is: 1,319,383.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,194 : 608,016 = 608,016 : x
  2. Step 2: Convert to fraction form
    280,194/608,016 = 608,016/x
  3. Step 3: Cross multiply
    280,194x = 608,016 × 608,016
  4. Step 4: Simplify right side
    280,194x = 369,683,456,256
  5. Step 5: Solve for x
    x = 369,683,456,256/280,194
  6. Step 6: Final answer
    x = 1,319,383.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.