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Finding the Third Proportional to 393,140 and 589,093

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Solution

The third proportional to 393,140 and 589,093 is: 882,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,140 : 589,093 = 589,093 : x
  2. Step 2: Convert to fraction form
    393,140/589,093 = 589,093/x
  3. Step 3: Cross multiply
    393,140x = 589,093 × 589,093
  4. Step 4: Simplify right side
    393,140x = 347,030,562,649
  5. Step 5: Solve for x
    x = 347,030,562,649/393,140
  6. Step 6: Final answer
    x = 882,714.97

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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.