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Finding the Third Proportional to 252,848.25 and 575,845.88

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Solution

The third proportional to 252,848.25 and 575,845.88 is: 1,311,452.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,848.25 : 575,845.88 = 575,845.88 : x
  2. Step 2: Convert to fraction form
    252,848.25/575,845.88 = 575,845.88/x
  3. Step 3: Cross multiply
    252,848.25x = 575,845.88 × 575,845.88
  4. Step 4: Simplify right side
    252,848.25x = 331,598,471,754.52
  5. Step 5: Solve for x
    x = 331,598,471,754.52/252,848.25
  6. Step 6: Final answer
    x = 1,311,452.51

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.