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Finding the Third Proportional to 364,048.50 and 757,149

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Solution

The third proportional to 364,048.50 and 757,149 is: 1,574,720.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,048.50 : 757,149 = 757,149 : x
  2. Step 2: Convert to fraction form
    364,048.50/757,149 = 757,149/x
  3. Step 3: Cross multiply
    364,048.50x = 757,149 × 757,149
  4. Step 4: Simplify right side
    364,048.50x = 573,274,608,201
  5. Step 5: Solve for x
    x = 573,274,608,201/364,048.50
  6. Step 6: Final answer
    x = 1,574,720.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.