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Finding the Third Proportional to 349,968 and 526,286

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Solution

The third proportional to 349,968 and 526,286 is: 791,435.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,968 : 526,286 = 526,286 : x
  2. Step 2: Convert to fraction form
    349,968/526,286 = 526,286/x
  3. Step 3: Cross multiply
    349,968x = 526,286 × 526,286
  4. Step 4: Simplify right side
    349,968x = 276,976,953,796
  5. Step 5: Solve for x
    x = 276,976,953,796/349,968
  6. Step 6: Final answer
    x = 791,435.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.