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Finding the Third Proportional to 270,626.50 and 412,323

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Solution

The third proportional to 270,626.50 and 412,323 is: 628,209.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,626.50 : 412,323 = 412,323 : x
  2. Step 2: Convert to fraction form
    270,626.50/412,323 = 412,323/x
  3. Step 3: Cross multiply
    270,626.50x = 412,323 × 412,323
  4. Step 4: Simplify right side
    270,626.50x = 170,010,256,329
  5. Step 5: Solve for x
    x = 170,010,256,329/270,626.50
  6. Step 6: Final answer
    x = 628,209.94

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.