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Finding the Third Proportional to 505,331.75 and 739,186.75

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Solution

The third proportional to 505,331.75 and 739,186.75 is: 1,081,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,331.75 : 739,186.75 = 739,186.75 : x
  2. Step 2: Convert to fraction form
    505,331.75/739,186.75 = 739,186.75/x
  3. Step 3: Cross multiply
    505,331.75x = 739,186.75 × 739,186.75
  4. Step 4: Simplify right side
    505,331.75x = 546,397,051,375.56
  5. Step 5: Solve for x
    x = 546,397,051,375.56/505,331.75
  6. Step 6: Final answer
    x = 1,081,264.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.