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Finding the Third Proportional to 289,962 and 438,132

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Solution

The third proportional to 289,962 and 438,132 is: 662,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,962 : 438,132 = 438,132 : x
  2. Step 2: Convert to fraction form
    289,962/438,132 = 438,132/x
  3. Step 3: Cross multiply
    289,962x = 438,132 × 438,132
  4. Step 4: Simplify right side
    289,962x = 191,959,649,424
  5. Step 5: Solve for x
    x = 191,959,649,424/289,962
  6. Step 6: Final answer
    x = 662,016.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.