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Finding the Third Proportional to 393,182 and 593,031

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Solution

The third proportional to 393,182 and 593,031 is: 894,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,182 : 593,031 = 593,031 : x
  2. Step 2: Convert to fraction form
    393,182/593,031 = 593,031/x
  3. Step 3: Cross multiply
    393,182x = 593,031 × 593,031
  4. Step 4: Simplify right side
    393,182x = 351,685,766,961
  5. Step 5: Solve for x
    x = 351,685,766,961/393,182
  6. Step 6: Final answer
    x = 894,460.50

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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.