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Finding the Third Proportional to 235,296 and 512,896

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Solution

The third proportional to 235,296 and 512,896 is: 1,118,005.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,296 : 512,896 = 512,896 : x
  2. Step 2: Convert to fraction form
    235,296/512,896 = 512,896/x
  3. Step 3: Cross multiply
    235,296x = 512,896 × 512,896
  4. Step 4: Simplify right side
    235,296x = 263,062,306,816
  5. Step 5: Solve for x
    x = 263,062,306,816/235,296
  6. Step 6: Final answer
    x = 1,118,005.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.