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Finding the Third Proportional to 393,732 and 590,907

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Solution

The third proportional to 393,732 and 590,907 is: 886,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,732 : 590,907 = 590,907 : x
  2. Step 2: Convert to fraction form
    393,732/590,907 = 590,907/x
  3. Step 3: Cross multiply
    393,732x = 590,907 × 590,907
  4. Step 4: Simplify right side
    393,732x = 349,171,082,649
  5. Step 5: Solve for x
    x = 349,171,082,649/393,732
  6. Step 6: Final answer
    x = 886,824.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.