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Finding the Third Proportional to 289,268 and 628,292

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Solution

The third proportional to 289,268 and 628,292 is: 1,364,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,268 : 628,292 = 628,292 : x
  2. Step 2: Convert to fraction form
    289,268/628,292 = 628,292/x
  3. Step 3: Cross multiply
    289,268x = 628,292 × 628,292
  4. Step 4: Simplify right side
    289,268x = 394,750,837,264
  5. Step 5: Solve for x
    x = 394,750,837,264/289,268
  6. Step 6: Final answer
    x = 1,364,654.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.