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Finding the Third Proportional to 534,961.50 and 831,008

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Solution

The third proportional to 534,961.50 and 831,008 is: 1,290,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,961.50 : 831,008 = 831,008 : x
  2. Step 2: Convert to fraction form
    534,961.50/831,008 = 831,008/x
  3. Step 3: Cross multiply
    534,961.50x = 831,008 × 831,008
  4. Step 4: Simplify right side
    534,961.50x = 690,574,296,064
  5. Step 5: Solve for x
    x = 690,574,296,064/534,961.50
  6. Step 6: Final answer
    x = 1,290,885.97

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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.