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Finding the Third Proportional to 233,124.75 and 509,989.50

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Solution

The third proportional to 233,124.75 and 509,989.50 is: 1,115,665.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,124.75 : 509,989.50 = 509,989.50 : x
  2. Step 2: Convert to fraction form
    233,124.75/509,989.50 = 509,989.50/x
  3. Step 3: Cross multiply
    233,124.75x = 509,989.50 × 509,989.50
  4. Step 4: Simplify right side
    233,124.75x = 260,089,290,110.25
  5. Step 5: Solve for x
    x = 260,089,290,110.25/233,124.75
  6. Step 6: Final answer
    x = 1,115,665.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.