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Finding the Third Proportional to 311,745 and 674,725.50

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Solution

The third proportional to 311,745 and 674,725.50 is: 1,460,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,745 : 674,725.50 = 674,725.50 : x
  2. Step 2: Convert to fraction form
    311,745/674,725.50 = 674,725.50/x
  3. Step 3: Cross multiply
    311,745x = 674,725.50 × 674,725.50
  4. Step 4: Simplify right side
    311,745x = 455,254,500,350.25
  5. Step 5: Solve for x
    x = 455,254,500,350.25/311,745
  6. Step 6: Final answer
    x = 1,460,342.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.