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Finding the Third Proportional to 235,927 and 509,396

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Solution

The third proportional to 235,927 and 509,396 is: 1,099,849.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,927 : 509,396 = 509,396 : x
  2. Step 2: Convert to fraction form
    235,927/509,396 = 509,396/x
  3. Step 3: Cross multiply
    235,927x = 509,396 × 509,396
  4. Step 4: Simplify right side
    235,927x = 259,484,284,816
  5. Step 5: Solve for x
    x = 259,484,284,816/235,927
  6. Step 6: Final answer
    x = 1,099,849.89

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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.