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Finding the Third Proportional to 341,914.50 and 741,784.50

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Solution

The third proportional to 341,914.50 and 741,784.50 is: 1,609,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,914.50 : 741,784.50 = 741,784.50 : x
  2. Step 2: Convert to fraction form
    341,914.50/741,784.50 = 741,784.50/x
  3. Step 3: Cross multiply
    341,914.50x = 741,784.50 × 741,784.50
  4. Step 4: Simplify right side
    341,914.50x = 550,244,244,440.25
  5. Step 5: Solve for x
    x = 550,244,244,440.25/341,914.50
  6. Step 6: Final answer
    x = 1,609,303.63

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.