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Finding the Third Proportional to 298,902 and 444,120

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Solution

The third proportional to 298,902 and 444,120 is: 659,890.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,902 : 444,120 = 444,120 : x
  2. Step 2: Convert to fraction form
    298,902/444,120 = 444,120/x
  3. Step 3: Cross multiply
    298,902x = 444,120 × 444,120
  4. Step 4: Simplify right side
    298,902x = 197,242,574,400
  5. Step 5: Solve for x
    x = 197,242,574,400/298,902
  6. Step 6: Final answer
    x = 659,890.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.