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Finding the Third Proportional to 331,938 and 514,836

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Solution

The third proportional to 331,938 and 514,836 is: 798,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,938 : 514,836 = 514,836 : x
  2. Step 2: Convert to fraction form
    331,938/514,836 = 514,836/x
  3. Step 3: Cross multiply
    331,938x = 514,836 × 514,836
  4. Step 4: Simplify right side
    331,938x = 265,056,106,896
  5. Step 5: Solve for x
    x = 265,056,106,896/331,938
  6. Step 6: Final answer
    x = 798,510.89

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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.