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Finding the Third Proportional to 326,664 and 443,328

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Solution

The third proportional to 326,664 and 443,328 is: 601,657.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,664 : 443,328 = 443,328 : x
  2. Step 2: Convert to fraction form
    326,664/443,328 = 443,328/x
  3. Step 3: Cross multiply
    326,664x = 443,328 × 443,328
  4. Step 4: Simplify right side
    326,664x = 196,539,715,584
  5. Step 5: Solve for x
    x = 196,539,715,584/326,664
  6. Step 6: Final answer
    x = 601,657.10

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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.