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Finding the Third Proportional to 533,514.50 and 813,567

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Solution

The third proportional to 533,514.50 and 813,567 is: 1,240,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,514.50 : 813,567 = 813,567 : x
  2. Step 2: Convert to fraction form
    533,514.50/813,567 = 813,567/x
  3. Step 3: Cross multiply
    533,514.50x = 813,567 × 813,567
  4. Step 4: Simplify right side
    533,514.50x = 661,891,263,489
  5. Step 5: Solve for x
    x = 661,891,263,489/533,514.50
  6. Step 6: Final answer
    x = 1,240,624.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.