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Finding the Third Proportional to 248,411.88 and 538,832.38

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Solution

The third proportional to 248,411.88 and 538,832.38 is: 1,168,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,411.88 : 538,832.38 = 538,832.38 : x
  2. Step 2: Convert to fraction form
    248,411.88/538,832.38 = 538,832.38/x
  3. Step 3: Cross multiply
    248,411.88x = 538,832.38 × 538,832.38
  4. Step 4: Simplify right side
    248,411.88x = 290,340,328,348.14
  5. Step 5: Solve for x
    x = 290,340,328,348.14/248,411.88
  6. Step 6: Final answer
    x = 1,168,786.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.