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Finding the Third Proportional to 534,212 and 831,956

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Solution

The third proportional to 534,212 and 831,956 is: 1,295,648.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,212 : 831,956 = 831,956 : x
  2. Step 2: Convert to fraction form
    534,212/831,956 = 831,956/x
  3. Step 3: Cross multiply
    534,212x = 831,956 × 831,956
  4. Step 4: Simplify right side
    534,212x = 692,150,785,936
  5. Step 5: Solve for x
    x = 692,150,785,936/534,212
  6. Step 6: Final answer
    x = 1,295,648.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.