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Finding the Third Proportional to 330,050.25 and 495,804.38

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Solution

The third proportional to 330,050.25 and 495,804.38 is: 744,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,050.25 : 495,804.38 = 495,804.38 : x
  2. Step 2: Convert to fraction form
    330,050.25/495,804.38 = 495,804.38/x
  3. Step 3: Cross multiply
    330,050.25x = 495,804.38 × 495,804.38
  4. Step 4: Simplify right side
    330,050.25x = 245,821,978,269.14
  5. Step 5: Solve for x
    x = 245,821,978,269.14/330,050.25
  6. Step 6: Final answer
    x = 744,801.67

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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.