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Finding the Third Proportional to 234,406.13 and 509,028.75

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Solution

The third proportional to 234,406.13 and 509,028.75 is: 1,105,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,406.13 : 509,028.75 = 509,028.75 : x
  2. Step 2: Convert to fraction form
    234,406.13/509,028.75 = 509,028.75/x
  3. Step 3: Cross multiply
    234,406.13x = 509,028.75 × 509,028.75
  4. Step 4: Simplify right side
    234,406.13x = 259,110,268,326.56
  5. Step 5: Solve for x
    x = 259,110,268,326.56/234,406.13
  6. Step 6: Final answer
    x = 1,105,390.35

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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.