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Finding the Third Proportional to 444,178 and 583,167

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Solution

The third proportional to 444,178 and 583,167 is: 765,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,178 : 583,167 = 583,167 : x
  2. Step 2: Convert to fraction form
    444,178/583,167 = 583,167/x
  3. Step 3: Cross multiply
    444,178x = 583,167 × 583,167
  4. Step 4: Simplify right side
    444,178x = 340,083,749,889
  5. Step 5: Solve for x
    x = 340,083,749,889/444,178
  6. Step 6: Final answer
    x = 765,647.44

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.