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Finding the Third Proportional to 403,283.81 and 619,027.31

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Solution

The third proportional to 403,283.81 and 619,027.31 is: 950,186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,283.81 : 619,027.31 = 619,027.31 : x
  2. Step 2: Convert to fraction form
    403,283.81/619,027.31 = 619,027.31/x
  3. Step 3: Cross multiply
    403,283.81x = 619,027.31 × 619,027.31
  4. Step 4: Simplify right side
    403,283.81x = 383,194,813,620.97
  5. Step 5: Solve for x
    x = 383,194,813,620.97/403,283.81
  6. Step 6: Final answer
    x = 950,186.45

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