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Finding the Third Proportional to 533,503.13 and 800,274.94

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Solution

The third proportional to 533,503.13 and 800,274.94 is: 1,200,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,503.13 : 800,274.94 = 800,274.94 : x
  2. Step 2: Convert to fraction form
    533,503.13/800,274.94 = 800,274.94/x
  3. Step 3: Cross multiply
    533,503.13x = 800,274.94 × 800,274.94
  4. Step 4: Simplify right side
    533,503.13x = 640,439,975,590.63
  5. Step 5: Solve for x
    x = 640,439,975,590.63/533,503.13
  6. Step 6: Final answer
    x = 1,200,442.78

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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.