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Finding the Third Proportional to 504,771.75 and 1,112,008.50

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Solution

The third proportional to 504,771.75 and 1,112,008.50 is: 2,449,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    504,771.75 : 1,112,008.50 = 1,112,008.50 : x
  2. Step 2: Convert to fraction form
    504,771.75/1,112,008.50 = 1,112,008.50/x
  3. Step 3: Cross multiply
    504,771.75x = 1,112,008.50 × 1,112,008.50
  4. Step 4: Simplify right side
    504,771.75x = 1,236,562,904,072.25
  5. Step 5: Solve for x
    x = 1,236,562,904,072.25/504,771.75
  6. Step 6: Final answer
    x = 2,449,746.65

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.