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Finding the Third Proportional to 403,919.75 and 598,080.75

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Solution

The third proportional to 403,919.75 and 598,080.75 is: 885,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,919.75 : 598,080.75 = 598,080.75 : x
  2. Step 2: Convert to fraction form
    403,919.75/598,080.75 = 598,080.75/x
  3. Step 3: Cross multiply
    403,919.75x = 598,080.75 × 598,080.75
  4. Step 4: Simplify right side
    403,919.75x = 357,700,583,520.56
  5. Step 5: Solve for x
    x = 357,700,583,520.56/403,919.75
  6. Step 6: Final answer
    x = 885,573.39

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.