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Finding the Third Proportional to 250,998.50 and 538,393

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Solution

The third proportional to 250,998.50 and 538,393 is: 1,154,855.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,998.50 : 538,393 = 538,393 : x
  2. Step 2: Convert to fraction form
    250,998.50/538,393 = 538,393/x
  3. Step 3: Cross multiply
    250,998.50x = 538,393 × 538,393
  4. Step 4: Simplify right side
    250,998.50x = 289,867,022,449
  5. Step 5: Solve for x
    x = 289,867,022,449/250,998.50
  6. Step 6: Final answer
    x = 1,154,855.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.