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Finding the Third Proportional to 462,776.50 and 699,096

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Solution

The third proportional to 462,776.50 and 699,096 is: 1,056,093.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,776.50 : 699,096 = 699,096 : x
  2. Step 2: Convert to fraction form
    462,776.50/699,096 = 699,096/x
  3. Step 3: Cross multiply
    462,776.50x = 699,096 × 699,096
  4. Step 4: Simplify right side
    462,776.50x = 488,735,217,216
  5. Step 5: Solve for x
    x = 488,735,217,216/462,776.50
  6. Step 6: Final answer
    x = 1,056,093.42

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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.