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Finding the Third Proportional to 209,088 and 437,616

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Solution

The third proportional to 209,088 and 437,616 is: 915,919.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,088 : 437,616 = 437,616 : x
  2. Step 2: Convert to fraction form
    209,088/437,616 = 437,616/x
  3. Step 3: Cross multiply
    209,088x = 437,616 × 437,616
  4. Step 4: Simplify right side
    209,088x = 191,507,763,456
  5. Step 5: Solve for x
    x = 191,507,763,456/209,088
  6. Step 6: Final answer
    x = 915,919.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.