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Finding the Third Proportional to 445,448 and 682,284

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Solution

The third proportional to 445,448 and 682,284 is: 1,045,041.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,448 : 682,284 = 682,284 : x
  2. Step 2: Convert to fraction form
    445,448/682,284 = 682,284/x
  3. Step 3: Cross multiply
    445,448x = 682,284 × 682,284
  4. Step 4: Simplify right side
    445,448x = 465,511,456,656
  5. Step 5: Solve for x
    x = 465,511,456,656/445,448
  6. Step 6: Final answer
    x = 1,045,041.07

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Why These Related Problems?

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