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Finding the Third Proportional to 361,305 and 744,477.75

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Solution

The third proportional to 361,305 and 744,477.75 is: 1,534,014.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,305 : 744,477.75 = 744,477.75 : x
  2. Step 2: Convert to fraction form
    361,305/744,477.75 = 744,477.75/x
  3. Step 3: Cross multiply
    361,305x = 744,477.75 × 744,477.75
  4. Step 4: Simplify right side
    361,305x = 554,247,120,245.06
  5. Step 5: Solve for x
    x = 554,247,120,245.06/361,305
  6. Step 6: Final answer
    x = 1,534,014.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.