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Finding the Third Proportional to 233,989.50 and 505,339.50

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Solution

The third proportional to 233,989.50 and 505,339.50 is: 1,091,365.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,989.50 : 505,339.50 = 505,339.50 : x
  2. Step 2: Convert to fraction form
    233,989.50/505,339.50 = 505,339.50/x
  3. Step 3: Cross multiply
    233,989.50x = 505,339.50 × 505,339.50
  4. Step 4: Simplify right side
    233,989.50x = 255,368,010,260.25
  5. Step 5: Solve for x
    x = 255,368,010,260.25/233,989.50
  6. Step 6: Final answer
    x = 1,091,365.25

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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.