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Finding the Third Proportional to 378,738 and 589,131

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Solution

The third proportional to 378,738 and 589,131 is: 916,399.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,738 : 589,131 = 589,131 : x
  2. Step 2: Convert to fraction form
    378,738/589,131 = 589,131/x
  3. Step 3: Cross multiply
    378,738x = 589,131 × 589,131
  4. Step 4: Simplify right side
    378,738x = 347,075,335,161
  5. Step 5: Solve for x
    x = 347,075,335,161/378,738
  6. Step 6: Final answer
    x = 916,399.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.