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Finding the Third Proportional to 542,836 and 798,036

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Solution

The third proportional to 542,836 and 798,036 is: 1,173,211.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,836 : 798,036 = 798,036 : x
  2. Step 2: Convert to fraction form
    542,836/798,036 = 798,036/x
  3. Step 3: Cross multiply
    542,836x = 798,036 × 798,036
  4. Step 4: Simplify right side
    542,836x = 636,861,457,296
  5. Step 5: Solve for x
    x = 636,861,457,296/542,836
  6. Step 6: Final answer
    x = 1,173,211.54

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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.