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Finding the Third Proportional to 352,640 and 775,255

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Solution

The third proportional to 352,640 and 775,255 is: 1,704,345.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,640 : 775,255 = 775,255 : x
  2. Step 2: Convert to fraction form
    352,640/775,255 = 775,255/x
  3. Step 3: Cross multiply
    352,640x = 775,255 × 775,255
  4. Step 4: Simplify right side
    352,640x = 601,020,315,025
  5. Step 5: Solve for x
    x = 601,020,315,025/352,640
  6. Step 6: Final answer
    x = 1,704,345.27

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