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Finding the Third Proportional to 209,718 and 333,579

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Solution

The third proportional to 209,718 and 333,579 is: 530,593.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,718 : 333,579 = 333,579 : x
  2. Step 2: Convert to fraction form
    209,718/333,579 = 333,579/x
  3. Step 3: Cross multiply
    209,718x = 333,579 × 333,579
  4. Step 4: Simplify right side
    209,718x = 111,274,949,241
  5. Step 5: Solve for x
    x = 111,274,949,241/209,718
  6. Step 6: Final answer
    x = 530,593.22

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Why These Related Problems?

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