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Finding the Third Proportional to 467,331 and 700,212

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Solution

The third proportional to 467,331 and 700,212 is: 1,049,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,331 : 700,212 = 700,212 : x
  2. Step 2: Convert to fraction form
    467,331/700,212 = 700,212/x
  3. Step 3: Cross multiply
    467,331x = 700,212 × 700,212
  4. Step 4: Simplify right side
    467,331x = 490,296,844,944
  5. Step 5: Solve for x
    x = 490,296,844,944/467,331
  6. Step 6: Final answer
    x = 1,049,142.57

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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.