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Finding the Third Proportional to 252,544.50 and 513,793

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Solution

The third proportional to 252,544.50 and 513,793 is: 1,045,293.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,544.50 : 513,793 = 513,793 : x
  2. Step 2: Convert to fraction form
    252,544.50/513,793 = 513,793/x
  3. Step 3: Cross multiply
    252,544.50x = 513,793 × 513,793
  4. Step 4: Simplify right side
    252,544.50x = 263,983,246,849
  5. Step 5: Solve for x
    x = 263,983,246,849/252,544.50
  6. Step 6: Final answer
    x = 1,045,293.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.