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Finding the Third Proportional to 542,736 and 797,832

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Solution

The third proportional to 542,736 and 797,832 is: 1,172,827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,736 : 797,832 = 797,832 : x
  2. Step 2: Convert to fraction form
    542,736/797,832 = 797,832/x
  3. Step 3: Cross multiply
    542,736x = 797,832 × 797,832
  4. Step 4: Simplify right side
    542,736x = 636,535,900,224
  5. Step 5: Solve for x
    x = 636,535,900,224/542,736
  6. Step 6: Final answer
    x = 1,172,827.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.