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Finding the Third Proportional to 451,509.56 and 619,136.06

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Solution

The third proportional to 451,509.56 and 619,136.06 is: 848,995.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,509.56 : 619,136.06 = 619,136.06 : x
  2. Step 2: Convert to fraction form
    451,509.56/619,136.06 = 619,136.06/x
  3. Step 3: Cross multiply
    451,509.56x = 619,136.06 × 619,136.06
  4. Step 4: Simplify right side
    451,509.56x = 383,329,463,888.00
  5. Step 5: Solve for x
    x = 383,329,463,888.00/451,509.56
  6. Step 6: Final answer
    x = 848,995.23

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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.