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Finding the Third Proportional to 235,875.75 and 509,292.75

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Solution

The third proportional to 235,875.75 and 509,292.75 is: 1,099,642.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,875.75 : 509,292.75 = 509,292.75 : x
  2. Step 2: Convert to fraction form
    235,875.75/509,292.75 = 509,292.75/x
  3. Step 3: Cross multiply
    235,875.75x = 509,292.75 × 509,292.75
  4. Step 4: Simplify right side
    235,875.75x = 259,379,105,202.56
  5. Step 5: Solve for x
    x = 259,379,105,202.56/235,875.75
  6. Step 6: Final answer
    x = 1,099,642.95

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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.