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Finding the Third Proportional to 361,305 and 751,284

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Solution

The third proportional to 361,305 and 751,284 is: 1,562,191.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,305 : 751,284 = 751,284 : x
  2. Step 2: Convert to fraction form
    361,305/751,284 = 751,284/x
  3. Step 3: Cross multiply
    361,305x = 751,284 × 751,284
  4. Step 4: Simplify right side
    361,305x = 564,427,648,656
  5. Step 5: Solve for x
    x = 564,427,648,656/361,305
  6. Step 6: Final answer
    x = 1,562,191.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.