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Finding the Third Proportional to 338,713.50 and 524,289.75

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Solution

The third proportional to 338,713.50 and 524,289.75 is: 811,540.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,713.50 : 524,289.75 = 524,289.75 : x
  2. Step 2: Convert to fraction form
    338,713.50/524,289.75 = 524,289.75/x
  3. Step 3: Cross multiply
    338,713.50x = 524,289.75 × 524,289.75
  4. Step 4: Simplify right side
    338,713.50x = 274,879,741,955.06
  5. Step 5: Solve for x
    x = 274,879,741,955.06/338,713.50
  6. Step 6: Final answer
    x = 811,540.56

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.