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Finding the Third Proportional to 533,691 and 831,154

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Solution

The third proportional to 533,691 and 831,154 is: 1,294,413.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,691 : 831,154 = 831,154 : x
  2. Step 2: Convert to fraction form
    533,691/831,154 = 831,154/x
  3. Step 3: Cross multiply
    533,691x = 831,154 × 831,154
  4. Step 4: Simplify right side
    533,691x = 690,816,971,716
  5. Step 5: Solve for x
    x = 690,816,971,716/533,691
  6. Step 6: Final answer
    x = 1,294,413.76

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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.