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Finding the Third Proportional to 403,284.19 and 619,025.44

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Solution

The third proportional to 403,284.19 and 619,025.44 is: 950,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,284.19 : 619,025.44 = 619,025.44 : x
  2. Step 2: Convert to fraction form
    403,284.19/619,025.44 = 619,025.44/x
  3. Step 3: Cross multiply
    403,284.19x = 619,025.44 × 619,025.44
  4. Step 4: Simplify right side
    403,284.19x = 383,192,492,272.07
  5. Step 5: Solve for x
    x = 383,192,492,272.07/403,284.19
  6. Step 6: Final answer
    x = 950,179.81

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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.