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Finding the Third Proportional to 674,914.50 and 949,351.50

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Solution

The third proportional to 674,914.50 and 949,351.50 is: 1,335,381.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,914.50 : 949,351.50 = 949,351.50 : x
  2. Step 2: Convert to fraction form
    674,914.50/949,351.50 = 949,351.50/x
  3. Step 3: Cross multiply
    674,914.50x = 949,351.50 × 949,351.50
  4. Step 4: Simplify right side
    674,914.50x = 901,268,270,552.25
  5. Step 5: Solve for x
    x = 901,268,270,552.25/674,914.50
  6. Step 6: Final answer
    x = 1,335,381.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.