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Finding the Third Proportional to 458,765.25 and 949,788.75

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Solution

The third proportional to 458,765.25 and 949,788.75 is: 1,966,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,765.25 : 949,788.75 = 949,788.75 : x
  2. Step 2: Convert to fraction form
    458,765.25/949,788.75 = 949,788.75/x
  3. Step 3: Cross multiply
    458,765.25x = 949,788.75 × 949,788.75
  4. Step 4: Simplify right side
    458,765.25x = 902,098,669,626.56
  5. Step 5: Solve for x
    x = 902,098,669,626.56/458,765.25
  6. Step 6: Final answer
    x = 1,966,362.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.