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Finding the Third Proportional to 534,976 and 831,030

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Solution

The third proportional to 534,976 and 831,030 is: 1,290,919.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,976 : 831,030 = 831,030 : x
  2. Step 2: Convert to fraction form
    534,976/831,030 = 831,030/x
  3. Step 3: Cross multiply
    534,976x = 831,030 × 831,030
  4. Step 4: Simplify right side
    534,976x = 690,610,860,900
  5. Step 5: Solve for x
    x = 690,610,860,900/534,976
  6. Step 6: Final answer
    x = 1,290,919.33

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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.