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Finding the Third Proportional to 233,787.50 and 504,059

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Solution

The third proportional to 233,787.50 and 504,059 is: 1,086,779.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,787.50 : 504,059 = 504,059 : x
  2. Step 2: Convert to fraction form
    233,787.50/504,059 = 504,059/x
  3. Step 3: Cross multiply
    233,787.50x = 504,059 × 504,059
  4. Step 4: Simplify right side
    233,787.50x = 254,075,475,481
  5. Step 5: Solve for x
    x = 254,075,475,481/233,787.50
  6. Step 6: Final answer
    x = 1,086,779.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.