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Finding the Third Proportional to 298,146 and 446,037

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Solution

The third proportional to 298,146 and 446,037 is: 667,287.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,146 : 446,037 = 446,037 : x
  2. Step 2: Convert to fraction form
    298,146/446,037 = 446,037/x
  3. Step 3: Cross multiply
    298,146x = 446,037 × 446,037
  4. Step 4: Simplify right side
    298,146x = 198,949,005,369
  5. Step 5: Solve for x
    x = 198,949,005,369/298,146
  6. Step 6: Final answer
    x = 667,287.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.