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Finding the Third Proportional to 294,256.41 and 443,548.88

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Solution

The third proportional to 294,256.41 and 443,548.88 is: 668,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,256.41 : 443,548.88 = 443,548.88 : x
  2. Step 2: Convert to fraction form
    294,256.41/443,548.88 = 443,548.88/x
  3. Step 3: Cross multiply
    294,256.41x = 443,548.88 × 443,548.88
  4. Step 4: Simplify right side
    294,256.41x = 196,735,604,513.77
  5. Step 5: Solve for x
    x = 196,735,604,513.77/294,256.41
  6. Step 6: Final answer
    x = 668,585.63

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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.