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Finding the Third Proportional to 527,813 and 796,231.50

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Solution

The third proportional to 527,813 and 796,231.50 is: 1,201,153.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,813 : 796,231.50 = 796,231.50 : x
  2. Step 2: Convert to fraction form
    527,813/796,231.50 = 796,231.50/x
  3. Step 3: Cross multiply
    527,813x = 796,231.50 × 796,231.50
  4. Step 4: Simplify right side
    527,813x = 633,984,601,592.25
  5. Step 5: Solve for x
    x = 633,984,601,592.25/527,813
  6. Step 6: Final answer
    x = 1,201,153.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.