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Finding the Third Proportional to 352,766.25 and 775,764

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Solution

The third proportional to 352,766.25 and 775,764 is: 1,705,973.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,766.25 : 775,764 = 775,764 : x
  2. Step 2: Convert to fraction form
    352,766.25/775,764 = 775,764/x
  3. Step 3: Cross multiply
    352,766.25x = 775,764 × 775,764
  4. Step 4: Simplify right side
    352,766.25x = 601,809,783,696
  5. Step 5: Solve for x
    x = 601,809,783,696/352,766.25
  6. Step 6: Final answer
    x = 1,705,973.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.