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Finding the Third Proportional to 728,268.05 and 1,102,522.64

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Solution

The third proportional to 728,268.05 and 1,102,522.64 is: 1,669,105.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,268.05 : 1,102,522.64 = 1,102,522.64 : x
  2. Step 2: Convert to fraction form
    728,268.05/1,102,522.64 = 1,102,522.64/x
  3. Step 3: Cross multiply
    728,268.05x = 1,102,522.64 × 1,102,522.64
  4. Step 4: Simplify right side
    728,268.05x = 1,215,556,173,090.72
  5. Step 5: Solve for x
    x = 1,215,556,173,090.72/728,268.05
  6. Step 6: Final answer
    x = 1,669,105.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.