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Finding the Third Proportional to 542,738 and 797,835

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Solution

The third proportional to 542,738 and 797,835 is: 1,172,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,738 : 797,835 = 797,835 : x
  2. Step 2: Convert to fraction form
    542,738/797,835 = 797,835/x
  3. Step 3: Cross multiply
    542,738x = 797,835 × 797,835
  4. Step 4: Simplify right side
    542,738x = 636,540,687,225
  5. Step 5: Solve for x
    x = 636,540,687,225/542,738
  6. Step 6: Final answer
    x = 1,172,832.36

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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.