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Finding the Third Proportional to 326,091.50 and 428,808.50

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Solution

The third proportional to 326,091.50 and 428,808.50 is: 563,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,091.50 : 428,808.50 = 428,808.50 : x
  2. Step 2: Convert to fraction form
    326,091.50/428,808.50 = 428,808.50/x
  3. Step 3: Cross multiply
    326,091.50x = 428,808.50 × 428,808.50
  4. Step 4: Simplify right side
    326,091.50x = 183,876,729,672.25
  5. Step 5: Solve for x
    x = 183,876,729,672.25/326,091.50
  6. Step 6: Final answer
    x = 563,880.78

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.