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Finding the Third Proportional to 262,353 and 562,050

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Solution

The third proportional to 262,353 and 562,050 is: 1,204,103.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,353 : 562,050 = 562,050 : x
  2. Step 2: Convert to fraction form
    262,353/562,050 = 562,050/x
  3. Step 3: Cross multiply
    262,353x = 562,050 × 562,050
  4. Step 4: Simplify right side
    262,353x = 315,900,202,500
  5. Step 5: Solve for x
    x = 315,900,202,500/262,353
  6. Step 6: Final answer
    x = 1,204,103.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.