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Finding the Third Proportional to 203,727 and 438,650

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Solution

The third proportional to 203,727 and 438,650 is: 944,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,727 : 438,650 = 438,650 : x
  2. Step 2: Convert to fraction form
    203,727/438,650 = 438,650/x
  3. Step 3: Cross multiply
    203,727x = 438,650 × 438,650
  4. Step 4: Simplify right side
    203,727x = 192,413,822,500
  5. Step 5: Solve for x
    x = 192,413,822,500/203,727
  6. Step 6: Final answer
    x = 944,468.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.