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Finding the Third Proportional to 353,532 and 763,086

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Solution

The third proportional to 353,532 and 763,086 is: 1,647,093.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,532 : 763,086 = 763,086 : x
  2. Step 2: Convert to fraction form
    353,532/763,086 = 763,086/x
  3. Step 3: Cross multiply
    353,532x = 763,086 × 763,086
  4. Step 4: Simplify right side
    353,532x = 582,300,243,396
  5. Step 5: Solve for x
    x = 582,300,243,396/353,532
  6. Step 6: Final answer
    x = 1,647,093.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.