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Finding the Third Proportional to 235,929 and 509,226

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Solution

The third proportional to 235,929 and 509,226 is: 1,099,106.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,929 : 509,226 = 509,226 : x
  2. Step 2: Convert to fraction form
    235,929/509,226 = 509,226/x
  3. Step 3: Cross multiply
    235,929x = 509,226 × 509,226
  4. Step 4: Simplify right side
    235,929x = 259,311,119,076
  5. Step 5: Solve for x
    x = 259,311,119,076/235,929
  6. Step 6: Final answer
    x = 1,099,106.59

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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.