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Finding the Third Proportional to 467,323 and 700,192

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Solution

The third proportional to 467,323 and 700,192 is: 1,049,100.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,323 : 700,192 = 700,192 : x
  2. Step 2: Convert to fraction form
    467,323/700,192 = 700,192/x
  3. Step 3: Cross multiply
    467,323x = 700,192 × 700,192
  4. Step 4: Simplify right side
    467,323x = 490,268,836,864
  5. Step 5: Solve for x
    x = 490,268,836,864/467,323
  6. Step 6: Final answer
    x = 1,049,100.59

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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.