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Finding the Third Proportional to 212,708 and 333,723

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Solution

The third proportional to 212,708 and 333,723 is: 523,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,708 : 333,723 = 333,723 : x
  2. Step 2: Convert to fraction form
    212,708/333,723 = 333,723/x
  3. Step 3: Cross multiply
    212,708x = 333,723 × 333,723
  4. Step 4: Simplify right side
    212,708x = 111,371,040,729
  5. Step 5: Solve for x
    x = 111,371,040,729/212,708
  6. Step 6: Final answer
    x = 523,586.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.