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Finding the Third Proportional to 213,072 and 467,616

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Solution

The third proportional to 213,072 and 467,616 is: 1,026,248.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,072 : 467,616 = 467,616 : x
  2. Step 2: Convert to fraction form
    213,072/467,616 = 467,616/x
  3. Step 3: Cross multiply
    213,072x = 467,616 × 467,616
  4. Step 4: Simplify right side
    213,072x = 218,664,723,456
  5. Step 5: Solve for x
    x = 218,664,723,456/213,072
  6. Step 6: Final answer
    x = 1,026,248.05

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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.