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Finding the Third Proportional to 290,260.13 and 615,786.75

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Solution

The third proportional to 290,260.13 and 615,786.75 is: 1,306,391.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,260.13 : 615,786.75 = 615,786.75 : x
  2. Step 2: Convert to fraction form
    290,260.13/615,786.75 = 615,786.75/x
  3. Step 3: Cross multiply
    290,260.13x = 615,786.75 × 615,786.75
  4. Step 4: Simplify right side
    290,260.13x = 379,193,321,475.56
  5. Step 5: Solve for x
    x = 379,193,321,475.56/290,260.13
  6. Step 6: Final answer
    x = 1,306,391.37

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.