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Finding the Third Proportional to 314,435 and 444,497

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Solution

The third proportional to 314,435 and 444,497 is: 628,357.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,435 : 444,497 = 444,497 : x
  2. Step 2: Convert to fraction form
    314,435/444,497 = 444,497/x
  3. Step 3: Cross multiply
    314,435x = 444,497 × 444,497
  4. Step 4: Simplify right side
    314,435x = 197,577,583,009
  5. Step 5: Solve for x
    x = 197,577,583,009/314,435
  6. Step 6: Final answer
    x = 628,357.48

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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.