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Finding the Third Proportional to 254,515.50 and 533,817

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Solution

The third proportional to 254,515.50 and 533,817 is: 1,119,619.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,515.50 : 533,817 = 533,817 : x
  2. Step 2: Convert to fraction form
    254,515.50/533,817 = 533,817/x
  3. Step 3: Cross multiply
    254,515.50x = 533,817 × 533,817
  4. Step 4: Simplify right side
    254,515.50x = 284,960,589,489
  5. Step 5: Solve for x
    x = 284,960,589,489/254,515.50
  6. Step 6: Final answer
    x = 1,119,619.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.