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Finding the Third Proportional to 208,016 and 490,880

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Solution

The third proportional to 208,016 and 490,880 is: 1,158,387.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,016 : 490,880 = 490,880 : x
  2. Step 2: Convert to fraction form
    208,016/490,880 = 490,880/x
  3. Step 3: Cross multiply
    208,016x = 490,880 × 490,880
  4. Step 4: Simplify right side
    208,016x = 240,963,174,400
  5. Step 5: Solve for x
    x = 240,963,174,400/208,016
  6. Step 6: Final answer
    x = 1,158,387.69

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.