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Finding the Third Proportional to 294,256.23 and 443,548.56

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Solution

The third proportional to 294,256.23 and 443,548.56 is: 668,585.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,256.23 : 443,548.56 = 443,548.56 : x
  2. Step 2: Convert to fraction form
    294,256.23/443,548.56 = 443,548.56/x
  3. Step 3: Cross multiply
    294,256.23x = 443,548.56 × 443,548.56
  4. Step 4: Simplify right side
    294,256.23x = 196,735,329,028.42
  5. Step 5: Solve for x
    x = 196,735,329,028.42/294,256.23
  6. Step 6: Final answer
    x = 668,585.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.