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Finding the Third Proportional to 251,788.50 and 540,999

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Solution

The third proportional to 251,788.50 and 540,999 is: 1,162,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,788.50 : 540,999 = 540,999 : x
  2. Step 2: Convert to fraction form
    251,788.50/540,999 = 540,999/x
  3. Step 3: Cross multiply
    251,788.50x = 540,999 × 540,999
  4. Step 4: Simplify right side
    251,788.50x = 292,679,918,001
  5. Step 5: Solve for x
    x = 292,679,918,001/251,788.50
  6. Step 6: Final answer
    x = 1,162,403.83

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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.