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Finding the Third Proportional to 341,236 and 734,308

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Solution

The third proportional to 341,236 and 734,308 is: 1,580,162.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,236 : 734,308 = 734,308 : x
  2. Step 2: Convert to fraction form
    341,236/734,308 = 734,308/x
  3. Step 3: Cross multiply
    341,236x = 734,308 × 734,308
  4. Step 4: Simplify right side
    341,236x = 539,208,238,864
  5. Step 5: Solve for x
    x = 539,208,238,864/341,236
  6. Step 6: Final answer
    x = 1,580,162.23

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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.