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Finding the Third Proportional to 235,027.50 and 516,711

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Solution

The third proportional to 235,027.50 and 516,711 is: 1,135,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,027.50 : 516,711 = 516,711 : x
  2. Step 2: Convert to fraction form
    235,027.50/516,711 = 516,711/x
  3. Step 3: Cross multiply
    235,027.50x = 516,711 × 516,711
  4. Step 4: Simplify right side
    235,027.50x = 266,990,257,521
  5. Step 5: Solve for x
    x = 266,990,257,521/235,027.50
  6. Step 6: Final answer
    x = 1,135,995.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.