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Finding the Third Proportional to 533,404 and 817,936

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Solution

The third proportional to 533,404 and 817,936 is: 1,254,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,404 : 817,936 = 817,936 : x
  2. Step 2: Convert to fraction form
    533,404/817,936 = 817,936/x
  3. Step 3: Cross multiply
    533,404x = 817,936 × 817,936
  4. Step 4: Simplify right side
    533,404x = 669,019,300,096
  5. Step 5: Solve for x
    x = 669,019,300,096/533,404
  6. Step 6: Final answer
    x = 1,254,245.00

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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.