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Finding the Third Proportional to 534,965 and 831,014

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Solution

The third proportional to 534,965 and 831,014 is: 1,290,896.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,965 : 831,014 = 831,014 : x
  2. Step 2: Convert to fraction form
    534,965/831,014 = 831,014/x
  3. Step 3: Cross multiply
    534,965x = 831,014 × 831,014
  4. Step 4: Simplify right side
    534,965x = 690,584,268,196
  5. Step 5: Solve for x
    x = 690,584,268,196/534,965
  6. Step 6: Final answer
    x = 1,290,896.17

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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.