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Finding the Third Proportional to 534,964 and 831,012

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Solution

The third proportional to 534,964 and 831,012 is: 1,290,892.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,964 : 831,012 = 831,012 : x
  2. Step 2: Convert to fraction form
    534,964/831,012 = 831,012/x
  3. Step 3: Cross multiply
    534,964x = 831,012 × 831,012
  4. Step 4: Simplify right side
    534,964x = 690,580,944,144
  5. Step 5: Solve for x
    x = 690,580,944,144/534,964
  6. Step 6: Final answer
    x = 1,290,892.37

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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.