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Finding the Third Proportional to 393,189 and 593,042

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Solution

The third proportional to 393,189 and 593,042 is: 894,477.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,189 : 593,042 = 593,042 : x
  2. Step 2: Convert to fraction form
    393,189/593,042 = 593,042/x
  3. Step 3: Cross multiply
    393,189x = 593,042 × 593,042
  4. Step 4: Simplify right side
    393,189x = 351,698,813,764
  5. Step 5: Solve for x
    x = 351,698,813,764/393,189
  6. Step 6: Final answer
    x = 894,477.75

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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.