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Finding the Third Proportional to 533,543.50 and 813,865.50

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Solution

The third proportional to 533,543.50 and 813,865.50 is: 1,241,467.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,543.50 : 813,865.50 = 813,865.50 : x
  2. Step 2: Convert to fraction form
    533,543.50/813,865.50 = 813,865.50/x
  3. Step 3: Cross multiply
    533,543.50x = 813,865.50 × 813,865.50
  4. Step 4: Simplify right side
    533,543.50x = 662,377,052,090.25
  5. Step 5: Solve for x
    x = 662,377,052,090.25/533,543.50
  6. Step 6: Final answer
    x = 1,241,467.76

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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.