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Finding the Third Proportional to 533,494 and 818,003

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Solution

The third proportional to 533,494 and 818,003 is: 1,254,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,494 : 818,003 = 818,003 : x
  2. Step 2: Convert to fraction form
    533,494/818,003 = 818,003/x
  3. Step 3: Cross multiply
    533,494x = 818,003 × 818,003
  4. Step 4: Simplify right side
    533,494x = 669,128,908,009
  5. Step 5: Solve for x
    x = 669,128,908,009/533,494
  6. Step 6: Final answer
    x = 1,254,238.86

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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.