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Finding the Third Proportional to 295,612 and 445,989

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Solution

The third proportional to 295,612 and 445,989 is: 672,862.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,612 : 445,989 = 445,989 : x
  2. Step 2: Convert to fraction form
    295,612/445,989 = 445,989/x
  3. Step 3: Cross multiply
    295,612x = 445,989 × 445,989
  4. Step 4: Simplify right side
    295,612x = 198,906,188,121
  5. Step 5: Solve for x
    x = 198,906,188,121/295,612
  6. Step 6: Final answer
    x = 672,862.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.