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Finding the Third Proportional to 262,452 and 562,212

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Solution

The third proportional to 262,452 and 562,212 is: 1,204,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,452 : 562,212 = 562,212 : x
  2. Step 2: Convert to fraction form
    262,452/562,212 = 562,212/x
  3. Step 3: Cross multiply
    262,452x = 562,212 × 562,212
  4. Step 4: Simplify right side
    262,452x = 316,082,332,944
  5. Step 5: Solve for x
    x = 316,082,332,944/262,452
  6. Step 6: Final answer
    x = 1,204,343.40

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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.