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Finding the Third Proportional to 211,424.63 and 327,879

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Solution

The third proportional to 211,424.63 and 327,879 is: 508,477.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,424.63 : 327,879 = 327,879 : x
  2. Step 2: Convert to fraction form
    211,424.63/327,879 = 327,879/x
  3. Step 3: Cross multiply
    211,424.63x = 327,879 × 327,879
  4. Step 4: Simplify right side
    211,424.63x = 107,504,638,641
  5. Step 5: Solve for x
    x = 107,504,638,641/211,424.63
  6. Step 6: Final answer
    x = 508,477.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.