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Finding the Third Proportional to 326,976 and 443,806.50

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Solution

The third proportional to 326,976 and 443,806.50 is: 602,381.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,976 : 443,806.50 = 443,806.50 : x
  2. Step 2: Convert to fraction form
    326,976/443,806.50 = 443,806.50/x
  3. Step 3: Cross multiply
    326,976x = 443,806.50 × 443,806.50
  4. Step 4: Simplify right side
    326,976x = 196,964,209,442.25
  5. Step 5: Solve for x
    x = 196,964,209,442.25/326,976
  6. Step 6: Final answer
    x = 602,381.24

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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.