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Finding the Third Proportional to 403,285.88 and 619,027.88

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Solution

The third proportional to 403,285.88 and 619,027.88 is: 950,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,285.88 : 619,027.88 = 619,027.88 : x
  2. Step 2: Convert to fraction form
    403,285.88/619,027.88 = 619,027.88/x
  3. Step 3: Cross multiply
    403,285.88x = 619,027.88 × 619,027.88
  4. Step 4: Simplify right side
    403,285.88x = 383,195,510,027.02
  5. Step 5: Solve for x
    x = 383,195,510,027.02/403,285.88
  6. Step 6: Final answer
    x = 950,183.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.