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Finding the Third Proportional to 239,662.50 and 526,435.50

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Solution

The third proportional to 239,662.50 and 526,435.50 is: 1,156,352.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,662.50 : 526,435.50 = 526,435.50 : x
  2. Step 2: Convert to fraction form
    239,662.50/526,435.50 = 526,435.50/x
  3. Step 3: Cross multiply
    239,662.50x = 526,435.50 × 526,435.50
  4. Step 4: Simplify right side
    239,662.50x = 277,134,335,660.25
  5. Step 5: Solve for x
    x = 277,134,335,660.25/239,662.50
  6. Step 6: Final answer
    x = 1,156,352.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.