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Finding the Third Proportional to 235,024 and 516,704

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Solution

The third proportional to 235,024 and 516,704 is: 1,135,981.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,024 : 516,704 = 516,704 : x
  2. Step 2: Convert to fraction form
    235,024/516,704 = 516,704/x
  3. Step 3: Cross multiply
    235,024x = 516,704 × 516,704
  4. Step 4: Simplify right side
    235,024x = 266,983,023,616
  5. Step 5: Solve for x
    x = 266,983,023,616/235,024
  6. Step 6: Final answer
    x = 1,135,981.96

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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.