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Finding the Third Proportional to 311,690.25 and 671,049

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Solution

The third proportional to 311,690.25 and 671,049 is: 1,444,725.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,690.25 : 671,049 = 671,049 : x
  2. Step 2: Convert to fraction form
    311,690.25/671,049 = 671,049/x
  3. Step 3: Cross multiply
    311,690.25x = 671,049 × 671,049
  4. Step 4: Simplify right side
    311,690.25x = 450,306,760,401
  5. Step 5: Solve for x
    x = 450,306,760,401/311,690.25
  6. Step 6: Final answer
    x = 1,444,725.21

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.