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Finding the Third Proportional to 534,204 and 831,942

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Solution

The third proportional to 534,204 and 831,942 is: 1,295,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,204 : 831,942 = 831,942 : x
  2. Step 2: Convert to fraction form
    534,204/831,942 = 831,942/x
  3. Step 3: Cross multiply
    534,204x = 831,942 × 831,942
  4. Step 4: Simplify right side
    534,204x = 692,127,491,364
  5. Step 5: Solve for x
    x = 692,127,491,364/534,204
  6. Step 6: Final answer
    x = 1,295,623.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.