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Finding the Third Proportional to 236,624 and 513,173

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Solution

The third proportional to 236,624 and 513,173 is: 1,112,932.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,624 : 513,173 = 513,173 : x
  2. Step 2: Convert to fraction form
    236,624/513,173 = 513,173/x
  3. Step 3: Cross multiply
    236,624x = 513,173 × 513,173
  4. Step 4: Simplify right side
    236,624x = 263,346,527,929
  5. Step 5: Solve for x
    x = 263,346,527,929/236,624
  6. Step 6: Final answer
    x = 1,112,932.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.