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Finding the Third Proportional to 650,922.75 and 1,333,550.25

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Solution

The third proportional to 650,922.75 and 1,333,550.25 is: 2,732,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,922.75 : 1,333,550.25 = 1,333,550.25 : x
  2. Step 2: Convert to fraction form
    650,922.75/1,333,550.25 = 1,333,550.25/x
  3. Step 3: Cross multiply
    650,922.75x = 1,333,550.25 × 1,333,550.25
  4. Step 4: Simplify right side
    650,922.75x = 1,778,356,269,275.06
  5. Step 5: Solve for x
    x = 1,778,356,269,275.06/650,922.75
  6. Step 6: Final answer
    x = 2,732,054.26

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.