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Finding the Third Proportional to 403,022.25 and 587,919.94

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Solution

The third proportional to 403,022.25 and 587,919.94 is: 857,644.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,022.25 : 587,919.94 = 587,919.94 : x
  2. Step 2: Convert to fraction form
    403,022.25/587,919.94 = 587,919.94/x
  3. Step 3: Cross multiply
    403,022.25x = 587,919.94 × 587,919.94
  4. Step 4: Simplify right side
    403,022.25x = 345,649,852,910.00
  5. Step 5: Solve for x
    x = 345,649,852,910.00/403,022.25
  6. Step 6: Final answer
    x = 857,644.59

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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.