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Finding the Third Proportional to 326,974 and 443,804

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Solution

The third proportional to 326,974 and 443,804 is: 602,378.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,974 : 443,804 = 443,804 : x
  2. Step 2: Convert to fraction form
    326,974/443,804 = 443,804/x
  3. Step 3: Cross multiply
    326,974x = 443,804 × 443,804
  4. Step 4: Simplify right side
    326,974x = 196,961,990,416
  5. Step 5: Solve for x
    x = 196,961,990,416/326,974
  6. Step 6: Final answer
    x = 602,378.14

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.