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Finding the Third Proportional to 349,340 and 526,908

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Solution

The third proportional to 349,340 and 526,908 is: 794,733.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,340 : 526,908 = 526,908 : x
  2. Step 2: Convert to fraction form
    349,340/526,908 = 526,908/x
  3. Step 3: Cross multiply
    349,340x = 526,908 × 526,908
  4. Step 4: Simplify right side
    349,340x = 277,632,040,464
  5. Step 5: Solve for x
    x = 277,632,040,464/349,340
  6. Step 6: Final answer
    x = 794,733.04

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Why These Related Problems?

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