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Finding the Third Proportional to 353,956 and 764,216

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Solution

The third proportional to 353,956 and 764,216 is: 1,649,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,956 : 764,216 = 764,216 : x
  2. Step 2: Convert to fraction form
    353,956/764,216 = 764,216/x
  3. Step 3: Cross multiply
    353,956x = 764,216 × 764,216
  4. Step 4: Simplify right side
    353,956x = 584,026,094,656
  5. Step 5: Solve for x
    x = 584,026,094,656/353,956
  6. Step 6: Final answer
    x = 1,649,996.31

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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.