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Finding the Third Proportional to 232,432.88 and 509,091.75

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Solution

The third proportional to 232,432.88 and 509,091.75 is: 1,115,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,432.88 : 509,091.75 = 509,091.75 : x
  2. Step 2: Convert to fraction form
    232,432.88/509,091.75 = 509,091.75/x
  3. Step 3: Cross multiply
    232,432.88x = 509,091.75 × 509,091.75
  4. Step 4: Simplify right side
    232,432.88x = 259,174,409,918.06
  5. Step 5: Solve for x
    x = 259,174,409,918.06/232,432.88
  6. Step 6: Final answer
    x = 1,115,050.57

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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.