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Finding the Third Proportional to 341,214.50 and 734,269

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Solution

The third proportional to 341,214.50 and 734,269 is: 1,580,093.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,214.50 : 734,269 = 734,269 : x
  2. Step 2: Convert to fraction form
    341,214.50/734,269 = 734,269/x
  3. Step 3: Cross multiply
    341,214.50x = 734,269 × 734,269
  4. Step 4: Simplify right side
    341,214.50x = 539,150,964,361
  5. Step 5: Solve for x
    x = 539,150,964,361/341,214.50
  6. Step 6: Final answer
    x = 1,580,093.94

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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.