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Finding the Third Proportional to 290,409.31 and 629,075.69

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Solution

The third proportional to 290,409.31 and 629,075.69 is: 1,362,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,409.31 : 629,075.69 = 629,075.69 : x
  2. Step 2: Convert to fraction form
    290,409.31/629,075.69 = 629,075.69/x
  3. Step 3: Cross multiply
    290,409.31x = 629,075.69 × 629,075.69
  4. Step 4: Simplify right side
    290,409.31x = 395,736,220,603.60
  5. Step 5: Solve for x
    x = 395,736,220,603.60/290,409.31
  6. Step 6: Final answer
    x = 1,362,684.33

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