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Finding the Third Proportional to 291,194 and 438,843

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Solution

The third proportional to 291,194 and 438,843 is: 661,356.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,194 : 438,843 = 438,843 : x
  2. Step 2: Convert to fraction form
    291,194/438,843 = 438,843/x
  3. Step 3: Cross multiply
    291,194x = 438,843 × 438,843
  4. Step 4: Simplify right side
    291,194x = 192,583,178,649
  5. Step 5: Solve for x
    x = 192,583,178,649/291,194
  6. Step 6: Final answer
    x = 661,356.96

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Why These Related Problems?

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