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Finding the Third Proportional to 344,238.75 and 526,219.88

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Solution

The third proportional to 344,238.75 and 526,219.88 is: 804,404.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,238.75 : 526,219.88 = 526,219.88 : x
  2. Step 2: Convert to fraction form
    344,238.75/526,219.88 = 526,219.88/x
  3. Step 3: Cross multiply
    344,238.75x = 526,219.88 × 526,219.88
  4. Step 4: Simplify right side
    344,238.75x = 276,907,356,845.02
  5. Step 5: Solve for x
    x = 276,907,356,845.02/344,238.75
  6. Step 6: Final answer
    x = 804,404.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.