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Finding the Third Proportional to 393,186 and 593,037

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Solution

The third proportional to 393,186 and 593,037 is: 894,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,186 : 593,037 = 593,037 : x
  2. Step 2: Convert to fraction form
    393,186/593,037 = 593,037/x
  3. Step 3: Cross multiply
    393,186x = 593,037 × 593,037
  4. Step 4: Simplify right side
    393,186x = 351,692,883,369
  5. Step 5: Solve for x
    x = 351,692,883,369/393,186
  6. Step 6: Final answer
    x = 894,469.50

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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.