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Finding the Third Proportional to 534,096 and 831,780

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Solution

The third proportional to 534,096 and 831,780 is: 1,295,381.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,096 : 831,780 = 831,780 : x
  2. Step 2: Convert to fraction form
    534,096/831,780 = 831,780/x
  3. Step 3: Cross multiply
    534,096x = 831,780 × 831,780
  4. Step 4: Simplify right side
    534,096x = 691,857,968,400
  5. Step 5: Solve for x
    x = 691,857,968,400/534,096
  6. Step 6: Final answer
    x = 1,295,381.30

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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.