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Finding the Third Proportional to 233,005.25 and 509,621.75

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Solution

The third proportional to 233,005.25 and 509,621.75 is: 1,114,628.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,005.25 : 509,621.75 = 509,621.75 : x
  2. Step 2: Convert to fraction form
    233,005.25/509,621.75 = 509,621.75/x
  3. Step 3: Cross multiply
    233,005.25x = 509,621.75 × 509,621.75
  4. Step 4: Simplify right side
    233,005.25x = 259,714,328,073.06
  5. Step 5: Solve for x
    x = 259,714,328,073.06/233,005.25
  6. Step 6: Final answer
    x = 1,114,628.65

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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.