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Finding the Third Proportional to 353,932 and 764,168

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Solution

The third proportional to 353,932 and 764,168 is: 1,649,900.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,932 : 764,168 = 764,168 : x
  2. Step 2: Convert to fraction form
    353,932/764,168 = 764,168/x
  3. Step 3: Cross multiply
    353,932x = 764,168 × 764,168
  4. Step 4: Simplify right side
    353,932x = 583,952,732,224
  5. Step 5: Solve for x
    x = 583,952,732,224/353,932
  6. Step 6: Final answer
    x = 1,649,900.92

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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.