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Finding the Third Proportional to 531,711 and 797,956

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Solution

The third proportional to 531,711 and 797,956 is: 1,197,518.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,711 : 797,956 = 797,956 : x
  2. Step 2: Convert to fraction form
    531,711/797,956 = 797,956/x
  3. Step 3: Cross multiply
    531,711x = 797,956 × 797,956
  4. Step 4: Simplify right side
    531,711x = 636,733,777,936
  5. Step 5: Solve for x
    x = 636,733,777,936/531,711
  6. Step 6: Final answer
    x = 1,197,518.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.