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Finding the Third Proportional to 236,314 and 509,732

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Solution

The third proportional to 236,314 and 509,732 is: 1,099,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,314 : 509,732 = 509,732 : x
  2. Step 2: Convert to fraction form
    236,314/509,732 = 509,732/x
  3. Step 3: Cross multiply
    236,314x = 509,732 × 509,732
  4. Step 4: Simplify right side
    236,314x = 259,826,711,824
  5. Step 5: Solve for x
    x = 259,826,711,824/236,314
  6. Step 6: Final answer
    x = 1,099,497.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.