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Finding the Third Proportional to 533,817 and 831,343.50

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Solution

The third proportional to 533,817 and 831,343.50 is: 1,294,698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,817 : 831,343.50 = 831,343.50 : x
  2. Step 2: Convert to fraction form
    533,817/831,343.50 = 831,343.50/x
  3. Step 3: Cross multiply
    533,817x = 831,343.50 × 831,343.50
  4. Step 4: Simplify right side
    533,817x = 691,132,014,992.25
  5. Step 5: Solve for x
    x = 691,132,014,992.25/533,817
  6. Step 6: Final answer
    x = 1,294,698.40

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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.