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Finding the Third Proportional to 362,834 and 788,642

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Solution

The third proportional to 362,834 and 788,642 is: 1,714,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,834 : 788,642 = 788,642 : x
  2. Step 2: Convert to fraction form
    362,834/788,642 = 788,642/x
  3. Step 3: Cross multiply
    362,834x = 788,642 × 788,642
  4. Step 4: Simplify right side
    362,834x = 621,956,204,164
  5. Step 5: Solve for x
    x = 621,956,204,164/362,834
  6. Step 6: Final answer
    x = 1,714,161.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.