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Finding the Third Proportional to 533,463 and 818,013

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Solution

The third proportional to 533,463 and 818,013 is: 1,254,342.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,463 : 818,013 = 818,013 : x
  2. Step 2: Convert to fraction form
    533,463/818,013 = 818,013/x
  3. Step 3: Cross multiply
    533,463x = 818,013 × 818,013
  4. Step 4: Simplify right side
    533,463x = 669,145,268,169
  5. Step 5: Solve for x
    x = 669,145,268,169/533,463
  6. Step 6: Final answer
    x = 1,254,342.42

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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.