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Finding the Third Proportional to 332,910 and 514,901.81

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Solution

The third proportional to 332,910 and 514,901.81 is: 796,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,910 : 514,901.81 = 514,901.81 : x
  2. Step 2: Convert to fraction form
    332,910/514,901.81 = 514,901.81/x
  3. Step 3: Cross multiply
    332,910x = 514,901.81 × 514,901.81
  4. Step 4: Simplify right side
    332,910x = 265,123,876,515.79
  5. Step 5: Solve for x
    x = 265,123,876,515.79/332,910
  6. Step 6: Final answer
    x = 796,383.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.