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Finding the Third Proportional to 267,271.75 and 538,917.50

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Solution

The third proportional to 267,271.75 and 538,917.50 is: 1,086,654.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,271.75 : 538,917.50 = 538,917.50 : x
  2. Step 2: Convert to fraction form
    267,271.75/538,917.50 = 538,917.50/x
  3. Step 3: Cross multiply
    267,271.75x = 538,917.50 × 538,917.50
  4. Step 4: Simplify right side
    267,271.75x = 290,432,071,806.25
  5. Step 5: Solve for x
    x = 290,432,071,806.25/267,271.75
  6. Step 6: Final answer
    x = 1,086,654.58

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.