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Finding the Third Proportional to 341,256 and 734,838

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Solution

The third proportional to 341,256 and 734,838 is: 1,582,351.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,256 : 734,838 = 734,838 : x
  2. Step 2: Convert to fraction form
    341,256/734,838 = 734,838/x
  3. Step 3: Cross multiply
    341,256x = 734,838 × 734,838
  4. Step 4: Simplify right side
    341,256x = 539,986,886,244
  5. Step 5: Solve for x
    x = 539,986,886,244/341,256
  6. Step 6: Final answer
    x = 1,582,351.33

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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.