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Finding the Third Proportional to 235,092 and 505,536

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Solution

The third proportional to 235,092 and 505,536 is: 1,087,092.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,092 : 505,536 = 505,536 : x
  2. Step 2: Convert to fraction form
    235,092/505,536 = 505,536/x
  3. Step 3: Cross multiply
    235,092x = 505,536 × 505,536
  4. Step 4: Simplify right side
    235,092x = 255,566,647,296
  5. Step 5: Solve for x
    x = 255,566,647,296/235,092
  6. Step 6: Final answer
    x = 1,087,092.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.