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Finding the Third Proportional to 292,268 and 628,208

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Solution

The third proportional to 292,268 and 628,208 is: 1,350,285.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,268 : 628,208 = 628,208 : x
  2. Step 2: Convert to fraction form
    292,268/628,208 = 628,208/x
  3. Step 3: Cross multiply
    292,268x = 628,208 × 628,208
  4. Step 4: Simplify right side
    292,268x = 394,645,291,264
  5. Step 5: Solve for x
    x = 394,645,291,264/292,268
  6. Step 6: Final answer
    x = 1,350,285.67

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.