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Finding the Third Proportional to 209,008 and 443,840

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Solution

The third proportional to 209,008 and 443,840 is: 942,518.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,008 : 443,840 = 443,840 : x
  2. Step 2: Convert to fraction form
    209,008/443,840 = 443,840/x
  3. Step 3: Cross multiply
    209,008x = 443,840 × 443,840
  4. Step 4: Simplify right side
    209,008x = 196,993,945,600
  5. Step 5: Solve for x
    x = 196,993,945,600/209,008
  6. Step 6: Final answer
    x = 942,518.69

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.