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Finding the Third Proportional to 281,661.75 and 626,294.25

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Solution

The third proportional to 281,661.75 and 626,294.25 is: 1,392,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,661.75 : 626,294.25 = 626,294.25 : x
  2. Step 2: Convert to fraction form
    281,661.75/626,294.25 = 626,294.25/x
  3. Step 3: Cross multiply
    281,661.75x = 626,294.25 × 626,294.25
  4. Step 4: Simplify right side
    281,661.75x = 392,244,487,583.06
  5. Step 5: Solve for x
    x = 392,244,487,583.06/281,661.75
  6. Step 6: Final answer
    x = 1,392,608.29

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.