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Finding the Third Proportional to 290,435.63 and 626,757.75

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Solution

The third proportional to 290,435.63 and 626,757.75 is: 1,352,538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,435.63 : 626,757.75 = 626,757.75 : x
  2. Step 2: Convert to fraction form
    290,435.63/626,757.75 = 626,757.75/x
  3. Step 3: Cross multiply
    290,435.63x = 626,757.75 × 626,757.75
  4. Step 4: Simplify right side
    290,435.63x = 392,825,277,185.06
  5. Step 5: Solve for x
    x = 392,825,277,185.06/290,435.63
  6. Step 6: Final answer
    x = 1,352,538.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.