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Finding the Third Proportional to 505,479.75 and 1,082,036.75

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Solution

The third proportional to 505,479.75 and 1,082,036.75 is: 2,316,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,479.75 : 1,082,036.75 = 1,082,036.75 : x
  2. Step 2: Convert to fraction form
    505,479.75/1,082,036.75 = 1,082,036.75/x
  3. Step 3: Cross multiply
    505,479.75x = 1,082,036.75 × 1,082,036.75
  4. Step 4: Simplify right side
    505,479.75x = 1,170,803,528,350.56
  5. Step 5: Solve for x
    x = 1,170,803,528,350.56/505,479.75
  6. Step 6: Final answer
    x = 2,316,222.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.