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Finding the Third Proportional to 533,508 and 800,283

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Solution

The third proportional to 533,508 and 800,283 is: 1,200,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,508 : 800,283 = 800,283 : x
  2. Step 2: Convert to fraction form
    533,508/800,283 = 800,283/x
  3. Step 3: Cross multiply
    533,508x = 800,283 × 800,283
  4. Step 4: Simplify right side
    533,508x = 640,452,880,089
  5. Step 5: Solve for x
    x = 640,452,880,089/533,508
  6. Step 6: Final answer
    x = 1,200,456.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.