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Finding the Third Proportional to 531,181.51 and 800,794.40

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Solution

The third proportional to 531,181.51 and 800,794.40 is: 1,207,255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,181.51 : 800,794.40 = 800,794.40 : x
  2. Step 2: Convert to fraction form
    531,181.51/800,794.40 = 800,794.40/x
  3. Step 3: Cross multiply
    531,181.51x = 800,794.40 × 800,794.40
  4. Step 4: Simplify right side
    531,181.51x = 641,271,667,004.77
  5. Step 5: Solve for x
    x = 641,271,667,004.77/531,181.51
  6. Step 6: Final answer
    x = 1,207,255.26

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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.