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Finding the Third Proportional to 324,266.63 and 487,437.75

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Solution

The third proportional to 324,266.63 and 487,437.75 is: 732,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,266.63 : 487,437.75 = 487,437.75 : x
  2. Step 2: Convert to fraction form
    324,266.63/487,437.75 = 487,437.75/x
  3. Step 3: Cross multiply
    324,266.63x = 487,437.75 × 487,437.75
  4. Step 4: Simplify right side
    324,266.63x = 237,595,560,125.06
  5. Step 5: Solve for x
    x = 237,595,560,125.06/324,266.63
  6. Step 6: Final answer
    x = 732,716.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.