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Finding the Third Proportional to 208,694 and 450,004

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Solution

The third proportional to 208,694 and 450,004 is: 970,337.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,694 : 450,004 = 450,004 : x
  2. Step 2: Convert to fraction form
    208,694/450,004 = 450,004/x
  3. Step 3: Cross multiply
    208,694x = 450,004 × 450,004
  4. Step 4: Simplify right side
    208,694x = 202,503,600,016
  5. Step 5: Solve for x
    x = 202,503,600,016/208,694
  6. Step 6: Final answer
    x = 970,337.43

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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.