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Finding the Third Proportional to 285,977.25 and 621,762.75

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Solution

The third proportional to 285,977.25 and 621,762.75 is: 1,351,817.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,977.25 : 621,762.75 = 621,762.75 : x
  2. Step 2: Convert to fraction form
    285,977.25/621,762.75 = 621,762.75/x
  3. Step 3: Cross multiply
    285,977.25x = 621,762.75 × 621,762.75
  4. Step 4: Simplify right side
    285,977.25x = 386,588,917,287.56
  5. Step 5: Solve for x
    x = 386,588,917,287.56/285,977.25
  6. Step 6: Final answer
    x = 1,351,817.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.