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Finding the Third Proportional to 534,108 and 831,798

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Solution

The third proportional to 534,108 and 831,798 is: 1,295,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,108 : 831,798 = 831,798 : x
  2. Step 2: Convert to fraction form
    534,108/831,798 = 831,798/x
  3. Step 3: Cross multiply
    534,108x = 831,798 × 831,798
  4. Step 4: Simplify right side
    534,108x = 691,887,912,804
  5. Step 5: Solve for x
    x = 691,887,912,804/534,108
  6. Step 6: Final answer
    x = 1,295,408.26

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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.