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Finding the Third Proportional to 314,397 and 444,438

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Solution

The third proportional to 314,397 and 444,438 is: 628,266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,397 : 444,438 = 444,438 : x
  2. Step 2: Convert to fraction form
    314,397/444,438 = 444,438/x
  3. Step 3: Cross multiply
    314,397x = 444,438 × 444,438
  4. Step 4: Simplify right side
    314,397x = 197,525,135,844
  5. Step 5: Solve for x
    x = 197,525,135,844/314,397
  6. Step 6: Final answer
    x = 628,266.61

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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.