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Finding the Third Proportional to 341,218 and 734,276

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Solution

The third proportional to 341,218 and 734,276 is: 1,580,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,218 : 734,276 = 734,276 : x
  2. Step 2: Convert to fraction form
    341,218/734,276 = 734,276/x
  3. Step 3: Cross multiply
    341,218x = 734,276 × 734,276
  4. Step 4: Simplify right side
    341,218x = 539,161,244,176
  5. Step 5: Solve for x
    x = 539,161,244,176/341,218
  6. Step 6: Final answer
    x = 1,580,107.86

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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.