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Finding the Third Proportional to 188,467 and 444,557

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Solution

The third proportional to 188,467 and 444,557 is: 1,048,623.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,467 : 444,557 = 444,557 : x
  2. Step 2: Convert to fraction form
    188,467/444,557 = 444,557/x
  3. Step 3: Cross multiply
    188,467x = 444,557 × 444,557
  4. Step 4: Simplify right side
    188,467x = 197,630,926,249
  5. Step 5: Solve for x
    x = 197,630,926,249/188,467
  6. Step 6: Final answer
    x = 1,048,623.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.