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Finding the Third Proportional to 393,182 and 593,021.50

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Solution

The third proportional to 393,182 and 593,021.50 is: 894,431.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,182 : 593,021.50 = 593,021.50 : x
  2. Step 2: Convert to fraction form
    393,182/593,021.50 = 593,021.50/x
  3. Step 3: Cross multiply
    393,182x = 593,021.50 × 593,021.50
  4. Step 4: Simplify right side
    393,182x = 351,674,499,462.25
  5. Step 5: Solve for x
    x = 351,674,499,462.25/393,182
  6. Step 6: Final answer
    x = 894,431.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.