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Finding the Third Proportional to 414,313.50 and 627,071.25

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Solution

The third proportional to 414,313.50 and 627,071.25 is: 949,084.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,313.50 : 627,071.25 = 627,071.25 : x
  2. Step 2: Convert to fraction form
    414,313.50/627,071.25 = 627,071.25/x
  3. Step 3: Cross multiply
    414,313.50x = 627,071.25 × 627,071.25
  4. Step 4: Simplify right side
    414,313.50x = 393,218,352,576.56
  5. Step 5: Solve for x
    x = 393,218,352,576.56/414,313.50
  6. Step 6: Final answer
    x = 949,084.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.