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Finding the Third Proportional to 505,537.88 and 1,100,347.88

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Solution

The third proportional to 505,537.88 and 1,100,347.88 is: 2,395,004.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,537.88 : 1,100,347.88 = 1,100,347.88 : x
  2. Step 2: Convert to fraction form
    505,537.88/1,100,347.88 = 1,100,347.88/x
  3. Step 3: Cross multiply
    505,537.88x = 1,100,347.88 × 1,100,347.88
  4. Step 4: Simplify right side
    505,537.88x = 1,210,765,446,017.02
  5. Step 5: Solve for x
    x = 1,210,765,446,017.02/505,537.88
  6. Step 6: Final answer
    x = 2,395,004.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.