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Finding the Third Proportional to 393,188 and 593,030

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Solution

The third proportional to 393,188 and 593,030 is: 894,443.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,188 : 593,030 = 593,030 : x
  2. Step 2: Convert to fraction form
    393,188/593,030 = 593,030/x
  3. Step 3: Cross multiply
    393,188x = 593,030 × 593,030
  4. Step 4: Simplify right side
    393,188x = 351,684,580,900
  5. Step 5: Solve for x
    x = 351,684,580,900/393,188
  6. Step 6: Final answer
    x = 894,443.83

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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.