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Finding the Third Proportional to 298,782 and 625,266

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Solution

The third proportional to 298,782 and 625,266 is: 1,308,504.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,782 : 625,266 = 625,266 : x
  2. Step 2: Convert to fraction form
    298,782/625,266 = 625,266/x
  3. Step 3: Cross multiply
    298,782x = 625,266 × 625,266
  4. Step 4: Simplify right side
    298,782x = 390,957,570,756
  5. Step 5: Solve for x
    x = 390,957,570,756/298,782
  6. Step 6: Final answer
    x = 1,308,504.43

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.