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Finding the Third Proportional to 314,414 and 444,460

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Solution

The third proportional to 314,414 and 444,460 is: 628,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,414 : 444,460 = 444,460 : x
  2. Step 2: Convert to fraction form
    314,414/444,460 = 444,460/x
  3. Step 3: Cross multiply
    314,414x = 444,460 × 444,460
  4. Step 4: Simplify right side
    314,414x = 197,544,691,600
  5. Step 5: Solve for x
    x = 197,544,691,600/314,414
  6. Step 6: Final answer
    x = 628,294.83

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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.