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Finding the Third Proportional to 368,563.50 and 757,404

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Solution

The third proportional to 368,563.50 and 757,404 is: 1,556,477.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,563.50 : 757,404 = 757,404 : x
  2. Step 2: Convert to fraction form
    368,563.50/757,404 = 757,404/x
  3. Step 3: Cross multiply
    368,563.50x = 757,404 × 757,404
  4. Step 4: Simplify right side
    368,563.50x = 573,660,819,216
  5. Step 5: Solve for x
    x = 573,660,819,216/368,563.50
  6. Step 6: Final answer
    x = 1,556,477.57

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.