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Finding the Third Proportional to 235,264 and 512,828

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Solution

The third proportional to 235,264 and 512,828 is: 1,117,861.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,264 : 512,828 = 512,828 : x
  2. Step 2: Convert to fraction form
    235,264/512,828 = 512,828/x
  3. Step 3: Cross multiply
    235,264x = 512,828 × 512,828
  4. Step 4: Simplify right side
    235,264x = 262,992,557,584
  5. Step 5: Solve for x
    x = 262,992,557,584/235,264
  6. Step 6: Final answer
    x = 1,117,861.46

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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.