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Finding the Third Proportional to 314,226 and 444,276

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Solution

The third proportional to 314,226 and 444,276 is: 628,150.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,226 : 444,276 = 444,276 : x
  2. Step 2: Convert to fraction form
    314,226/444,276 = 444,276/x
  3. Step 3: Cross multiply
    314,226x = 444,276 × 444,276
  4. Step 4: Simplify right side
    314,226x = 197,381,164,176
  5. Step 5: Solve for x
    x = 197,381,164,176/314,226
  6. Step 6: Final answer
    x = 628,150.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.