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Finding the Third Proportional to 341,326 and 734,170

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Solution

The third proportional to 341,326 and 734,170 is: 1,579,151.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,326 : 734,170 = 734,170 : x
  2. Step 2: Convert to fraction form
    341,326/734,170 = 734,170/x
  3. Step 3: Cross multiply
    341,326x = 734,170 × 734,170
  4. Step 4: Simplify right side
    341,326x = 539,005,588,900
  5. Step 5: Solve for x
    x = 539,005,588,900/341,326
  6. Step 6: Final answer
    x = 1,579,151.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.