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Finding the Third Proportional to 533,596 and 813,948

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Solution

The third proportional to 533,596 and 813,948 is: 1,241,597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,596 : 813,948 = 813,948 : x
  2. Step 2: Convert to fraction form
    533,596/813,948 = 813,948/x
  3. Step 3: Cross multiply
    533,596x = 813,948 × 813,948
  4. Step 4: Simplify right side
    533,596x = 662,511,346,704
  5. Step 5: Solve for x
    x = 662,511,346,704/533,596
  6. Step 6: Final answer
    x = 1,241,597.29

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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.