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Finding the Third Proportional to 294,514 and 444,226

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Solution

The third proportional to 294,514 and 444,226 is: 670,041.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,514 : 444,226 = 444,226 : x
  2. Step 2: Convert to fraction form
    294,514/444,226 = 444,226/x
  3. Step 3: Cross multiply
    294,514x = 444,226 × 444,226
  4. Step 4: Simplify right side
    294,514x = 197,336,739,076
  5. Step 5: Solve for x
    x = 197,336,739,076/294,514
  6. Step 6: Final answer
    x = 670,041.96

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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.