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Finding the Third Proportional to 236,652 and 516,972

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Solution

The third proportional to 236,652 and 516,972 is: 1,129,337.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,652 : 516,972 = 516,972 : x
  2. Step 2: Convert to fraction form
    236,652/516,972 = 516,972/x
  3. Step 3: Cross multiply
    236,652x = 516,972 × 516,972
  4. Step 4: Simplify right side
    236,652x = 267,260,048,784
  5. Step 5: Solve for x
    x = 267,260,048,784/236,652
  6. Step 6: Final answer
    x = 1,129,337.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.