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Finding the Third Proportional to 339,061.50 and 464,919.75

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Solution

The third proportional to 339,061.50 and 464,919.75 is: 637,496.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,061.50 : 464,919.75 = 464,919.75 : x
  2. Step 2: Convert to fraction form
    339,061.50/464,919.75 = 464,919.75/x
  3. Step 3: Cross multiply
    339,061.50x = 464,919.75 × 464,919.75
  4. Step 4: Simplify right side
    339,061.50x = 216,150,373,940.06
  5. Step 5: Solve for x
    x = 216,150,373,940.06/339,061.50
  6. Step 6: Final answer
    x = 637,496.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.