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Finding the Third Proportional to 301,123.50 and 443,361

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Solution

The third proportional to 301,123.50 and 443,361 is: 652,785.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,123.50 : 443,361 = 443,361 : x
  2. Step 2: Convert to fraction form
    301,123.50/443,361 = 443,361/x
  3. Step 3: Cross multiply
    301,123.50x = 443,361 × 443,361
  4. Step 4: Simplify right side
    301,123.50x = 196,568,976,321
  5. Step 5: Solve for x
    x = 196,568,976,321/301,123.50
  6. Step 6: Final answer
    x = 652,785.24

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.