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Finding the Third Proportional to 536,403.94 and 810,072.56

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Solution

The third proportional to 536,403.94 and 810,072.56 is: 1,223,364.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,403.94 : 810,072.56 = 810,072.56 : x
  2. Step 2: Convert to fraction form
    536,403.94/810,072.56 = 810,072.56/x
  3. Step 3: Cross multiply
    536,403.94x = 810,072.56 × 810,072.56
  4. Step 4: Simplify right side
    536,403.94x = 656,217,556,515.32
  5. Step 5: Solve for x
    x = 656,217,556,515.32/536,403.94
  6. Step 6: Final answer
    x = 1,223,364.54

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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.