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Finding the Third Proportional to 269,734.50 and 590,265

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Solution

The third proportional to 269,734.50 and 590,265 is: 1,291,687.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,734.50 : 590,265 = 590,265 : x
  2. Step 2: Convert to fraction form
    269,734.50/590,265 = 590,265/x
  3. Step 3: Cross multiply
    269,734.50x = 590,265 × 590,265
  4. Step 4: Simplify right side
    269,734.50x = 348,412,770,225
  5. Step 5: Solve for x
    x = 348,412,770,225/269,734.50
  6. Step 6: Final answer
    x = 1,291,687.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.