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Finding the Third Proportional to 209,058 and 459,734

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Solution

The third proportional to 209,058 and 459,734 is: 1,010,989.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,058 : 459,734 = 459,734 : x
  2. Step 2: Convert to fraction form
    209,058/459,734 = 459,734/x
  3. Step 3: Cross multiply
    209,058x = 459,734 × 459,734
  4. Step 4: Simplify right side
    209,058x = 211,355,350,756
  5. Step 5: Solve for x
    x = 211,355,350,756/209,058
  6. Step 6: Final answer
    x = 1,010,989.06

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.