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Finding the Third Proportional to 533,549 and 813,873

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Solution

The third proportional to 533,549 and 813,873 is: 1,241,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,549 : 813,873 = 813,873 : x
  2. Step 2: Convert to fraction form
    533,549/813,873 = 813,873/x
  3. Step 3: Cross multiply
    533,549x = 813,873 × 813,873
  4. Step 4: Simplify right side
    533,549x = 662,389,260,129
  5. Step 5: Solve for x
    x = 662,389,260,129/533,549
  6. Step 6: Final answer
    x = 1,241,477.84

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.