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Finding the Third Proportional to 208,051 and 494,289

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Solution

The third proportional to 208,051 and 494,289 is: 1,174,335.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,051 : 494,289 = 494,289 : x
  2. Step 2: Convert to fraction form
    208,051/494,289 = 494,289/x
  3. Step 3: Cross multiply
    208,051x = 494,289 × 494,289
  4. Step 4: Simplify right side
    208,051x = 244,321,615,521
  5. Step 5: Solve for x
    x = 244,321,615,521/208,051
  6. Step 6: Final answer
    x = 1,174,335.21

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.