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Finding the Third Proportional to 531,817 and 798,096

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Solution

The third proportional to 531,817 and 798,096 is: 1,197,700.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,817 : 798,096 = 798,096 : x
  2. Step 2: Convert to fraction form
    531,817/798,096 = 798,096/x
  3. Step 3: Cross multiply
    531,817x = 798,096 × 798,096
  4. Step 4: Simplify right side
    531,817x = 636,957,225,216
  5. Step 5: Solve for x
    x = 636,957,225,216/531,817
  6. Step 6: Final answer
    x = 1,197,700.01

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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.