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Finding the Third Proportional to 233,311.50 and 511,819.50

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Solution

The third proportional to 233,311.50 and 511,819.50 is: 1,122,787.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,311.50 : 511,819.50 = 511,819.50 : x
  2. Step 2: Convert to fraction form
    233,311.50/511,819.50 = 511,819.50/x
  3. Step 3: Cross multiply
    233,311.50x = 511,819.50 × 511,819.50
  4. Step 4: Simplify right side
    233,311.50x = 261,959,200,580.25
  5. Step 5: Solve for x
    x = 261,959,200,580.25/233,311.50
  6. Step 6: Final answer
    x = 1,122,787.35

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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.