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Finding the Third Proportional to 349,267.50 and 526,632.75

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Solution

The third proportional to 349,267.50 and 526,632.75 is: 794,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,267.50 : 526,632.75 = 526,632.75 : x
  2. Step 2: Convert to fraction form
    349,267.50/526,632.75 = 526,632.75/x
  3. Step 3: Cross multiply
    349,267.50x = 526,632.75 × 526,632.75
  4. Step 4: Simplify right side
    349,267.50x = 277,342,053,372.56
  5. Step 5: Solve for x
    x = 277,342,053,372.56/349,267.50
  6. Step 6: Final answer
    x = 794,067.74

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.