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Finding the Third Proportional to 209,860 and 333,754

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Solution

The third proportional to 209,860 and 333,754 is: 530,790.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,860 : 333,754 = 333,754 : x
  2. Step 2: Convert to fraction form
    209,860/333,754 = 333,754/x
  3. Step 3: Cross multiply
    209,860x = 333,754 × 333,754
  4. Step 4: Simplify right side
    209,860x = 111,391,732,516
  5. Step 5: Solve for x
    x = 111,391,732,516/209,860
  6. Step 6: Final answer
    x = 530,790.68

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.