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Finding the Third Proportional to 203,707 and 438,619

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Solution

The third proportional to 203,707 and 438,619 is: 944,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,707 : 438,619 = 438,619 : x
  2. Step 2: Convert to fraction form
    203,707/438,619 = 438,619/x
  3. Step 3: Cross multiply
    203,707x = 438,619 × 438,619
  4. Step 4: Simplify right side
    203,707x = 192,386,627,161
  5. Step 5: Solve for x
    x = 192,386,627,161/203,707
  6. Step 6: Final answer
    x = 944,428.16

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