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Finding the Third Proportional to 353,928 and 764,160

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Solution

The third proportional to 353,928 and 764,160 is: 1,649,885.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,928 : 764,160 = 764,160 : x
  2. Step 2: Convert to fraction form
    353,928/764,160 = 764,160/x
  3. Step 3: Cross multiply
    353,928x = 764,160 × 764,160
  4. Step 4: Simplify right side
    353,928x = 583,940,505,600
  5. Step 5: Solve for x
    x = 583,940,505,600/353,928
  6. Step 6: Final answer
    x = 1,649,885.02

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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.