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Finding the Third Proportional to 284,990 and 444,738

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Solution

The third proportional to 284,990 and 444,738 is: 694,030.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,990 : 444,738 = 444,738 : x
  2. Step 2: Convert to fraction form
    284,990/444,738 = 444,738/x
  3. Step 3: Cross multiply
    284,990x = 444,738 × 444,738
  4. Step 4: Simplify right side
    284,990x = 197,791,888,644
  5. Step 5: Solve for x
    x = 197,791,888,644/284,990
  6. Step 6: Final answer
    x = 694,030.98

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.