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Finding the Third Proportional to 363,504 and 744,640.50

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Solution

The third proportional to 363,504 and 744,640.50 is: 1,525,401.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,504 : 744,640.50 = 744,640.50 : x
  2. Step 2: Convert to fraction form
    363,504/744,640.50 = 744,640.50/x
  3. Step 3: Cross multiply
    363,504x = 744,640.50 × 744,640.50
  4. Step 4: Simplify right side
    363,504x = 554,489,474,240.25
  5. Step 5: Solve for x
    x = 554,489,474,240.25/363,504
  6. Step 6: Final answer
    x = 1,525,401.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.