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Finding the Third Proportional to 349,538 and 526,035

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Solution

The third proportional to 349,538 and 526,035 is: 791,653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,538 : 526,035 = 526,035 : x
  2. Step 2: Convert to fraction form
    349,538/526,035 = 526,035/x
  3. Step 3: Cross multiply
    349,538x = 526,035 × 526,035
  4. Step 4: Simplify right side
    349,538x = 276,712,821,225
  5. Step 5: Solve for x
    x = 276,712,821,225/349,538
  6. Step 6: Final answer
    x = 791,653.04

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Why These Related Problems?

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