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Finding the Third Proportional to 293,162 and 642,434

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Solution

The third proportional to 293,162 and 642,434 is: 1,407,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,162 : 642,434 = 642,434 : x
  2. Step 2: Convert to fraction form
    293,162/642,434 = 642,434/x
  3. Step 3: Cross multiply
    293,162x = 642,434 × 642,434
  4. Step 4: Simplify right side
    293,162x = 412,721,444,356
  5. Step 5: Solve for x
    x = 412,721,444,356/293,162
  6. Step 6: Final answer
    x = 1,407,827.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.