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Finding the Third Proportional to 534,980 and 831,036

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Solution

The third proportional to 534,980 and 831,036 is: 1,290,928.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,980 : 831,036 = 831,036 : x
  2. Step 2: Convert to fraction form
    534,980/831,036 = 831,036/x
  3. Step 3: Cross multiply
    534,980x = 831,036 × 831,036
  4. Step 4: Simplify right side
    534,980x = 690,620,833,296
  5. Step 5: Solve for x
    x = 690,620,833,296/534,980
  6. Step 6: Final answer
    x = 1,290,928.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.