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Finding the Third Proportional to 290,835.56 and 615,200.06

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Solution

The third proportional to 290,835.56 and 615,200.06 is: 1,301,323.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,835.56 : 615,200.06 = 615,200.06 : x
  2. Step 2: Convert to fraction form
    290,835.56/615,200.06 = 615,200.06/x
  3. Step 3: Cross multiply
    290,835.56x = 615,200.06 × 615,200.06
  4. Step 4: Simplify right side
    290,835.56x = 378,471,116,900.00
  5. Step 5: Solve for x
    x = 378,471,116,900.00/290,835.56
  6. Step 6: Final answer
    x = 1,301,323.38

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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.