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Finding the Third Proportional to 393,148 and 589,098

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Solution

The third proportional to 393,148 and 589,098 is: 882,711.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,148 : 589,098 = 589,098 : x
  2. Step 2: Convert to fraction form
    393,148/589,098 = 589,098/x
  3. Step 3: Cross multiply
    393,148x = 589,098 × 589,098
  4. Step 4: Simplify right side
    393,148x = 347,036,453,604
  5. Step 5: Solve for x
    x = 347,036,453,604/393,148
  6. Step 6: Final answer
    x = 882,711.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.