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Finding the Third Proportional to 267,360.75 and 580,830.75

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Solution

The third proportional to 267,360.75 and 580,830.75 is: 1,261,832.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,360.75 : 580,830.75 = 580,830.75 : x
  2. Step 2: Convert to fraction form
    267,360.75/580,830.75 = 580,830.75/x
  3. Step 3: Cross multiply
    267,360.75x = 580,830.75 × 580,830.75
  4. Step 4: Simplify right side
    267,360.75x = 337,364,360,145.56
  5. Step 5: Solve for x
    x = 337,364,360,145.56/267,360.75
  6. Step 6: Final answer
    x = 1,261,832.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.