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Finding the Third Proportional to 203,702 and 438,613

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Solution

The third proportional to 203,702 and 438,613 is: 944,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,702 : 438,613 = 438,613 : x
  2. Step 2: Convert to fraction form
    203,702/438,613 = 438,613/x
  3. Step 3: Cross multiply
    203,702x = 438,613 × 438,613
  4. Step 4: Simplify right side
    203,702x = 192,381,363,769
  5. Step 5: Solve for x
    x = 192,381,363,769/203,702
  6. Step 6: Final answer
    x = 944,425.50

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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.