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Finding the Third Proportional to 414,283.50 and 902,380.50

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Solution

The third proportional to 414,283.50 and 902,380.50 is: 1,965,539.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,283.50 : 902,380.50 = 902,380.50 : x
  2. Step 2: Convert to fraction form
    414,283.50/902,380.50 = 902,380.50/x
  3. Step 3: Cross multiply
    414,283.50x = 902,380.50 × 902,380.50
  4. Step 4: Simplify right side
    414,283.50x = 814,290,566,780.25
  5. Step 5: Solve for x
    x = 814,290,566,780.25/414,283.50
  6. Step 6: Final answer
    x = 1,965,539.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.