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Finding the Third Proportional to 451,539.56 and 619,183.41

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Solution

The third proportional to 451,539.56 and 619,183.41 is: 849,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,539.56 : 619,183.41 = 619,183.41 : x
  2. Step 2: Convert to fraction form
    451,539.56/619,183.41 = 619,183.41/x
  3. Step 3: Cross multiply
    451,539.56x = 619,183.41 × 619,183.41
  4. Step 4: Simplify right side
    451,539.56x = 383,388,090,575.35
  5. Step 5: Solve for x
    x = 383,388,090,575.35/451,539.56
  6. Step 6: Final answer
    x = 849,068.66

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Why These Related Problems?

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