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Finding the Third Proportional to 530,181 and 819,103.50

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Solution

The third proportional to 530,181 and 819,103.50 is: 1,265,474.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,181 : 819,103.50 = 819,103.50 : x
  2. Step 2: Convert to fraction form
    530,181/819,103.50 = 819,103.50/x
  3. Step 3: Cross multiply
    530,181x = 819,103.50 × 819,103.50
  4. Step 4: Simplify right side
    530,181x = 670,930,543,712.25
  5. Step 5: Solve for x
    x = 670,930,543,712.25/530,181
  6. Step 6: Final answer
    x = 1,265,474.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.