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Finding the Third Proportional to 467,340 and 700,221

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Solution

The third proportional to 467,340 and 700,221 is: 1,049,149.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,340 : 700,221 = 700,221 : x
  2. Step 2: Convert to fraction form
    467,340/700,221 = 700,221/x
  3. Step 3: Cross multiply
    467,340x = 700,221 × 700,221
  4. Step 4: Simplify right side
    467,340x = 490,309,448,841
  5. Step 5: Solve for x
    x = 490,309,448,841/467,340
  6. Step 6: Final answer
    x = 1,049,149.33

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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.