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Finding the Third Proportional to 533,545 and 813,868

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Solution

The third proportional to 533,545 and 813,868 is: 1,241,471.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,545 : 813,868 = 813,868 : x
  2. Step 2: Convert to fraction form
    533,545/813,868 = 813,868/x
  3. Step 3: Cross multiply
    533,545x = 813,868 × 813,868
  4. Step 4: Simplify right side
    533,545x = 662,381,121,424
  5. Step 5: Solve for x
    x = 662,381,121,424/533,545
  6. Step 6: Final answer
    x = 1,241,471.89

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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.