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Finding the Third Proportional to 328,739.50 and 481,285.50

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Solution

The third proportional to 328,739.50 and 481,285.50 is: 704,617.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,739.50 : 481,285.50 = 481,285.50 : x
  2. Step 2: Convert to fraction form
    328,739.50/481,285.50 = 481,285.50/x
  3. Step 3: Cross multiply
    328,739.50x = 481,285.50 × 481,285.50
  4. Step 4: Simplify right side
    328,739.50x = 231,635,732,510.25
  5. Step 5: Solve for x
    x = 231,635,732,510.25/328,739.50
  6. Step 6: Final answer
    x = 704,617.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.