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Finding the Third Proportional to 534,097 and 831,781.50

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Solution

The third proportional to 534,097 and 831,781.50 is: 1,295,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,097 : 831,781.50 = 831,781.50 : x
  2. Step 2: Convert to fraction form
    534,097/831,781.50 = 831,781.50/x
  3. Step 3: Cross multiply
    534,097x = 831,781.50 × 831,781.50
  4. Step 4: Simplify right side
    534,097x = 691,860,463,742.25
  5. Step 5: Solve for x
    x = 691,860,463,742.25/534,097
  6. Step 6: Final answer
    x = 1,295,383.54

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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.