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Finding the Third Proportional to 273,361.50 and 384,782.06

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Solution

The third proportional to 273,361.50 and 384,782.06 is: 541,617.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,361.50 : 384,782.06 = 384,782.06 : x
  2. Step 2: Convert to fraction form
    273,361.50/384,782.06 = 384,782.06/x
  3. Step 3: Cross multiply
    273,361.50x = 384,782.06 × 384,782.06
  4. Step 4: Simplify right side
    273,361.50x = 148,057,235,621.75
  5. Step 5: Solve for x
    x = 148,057,235,621.75/273,361.50
  6. Step 6: Final answer
    x = 541,617.00

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.