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Finding the Third Proportional to 235,230 and 512,756

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Solution

The third proportional to 235,230 and 512,756 is: 1,117,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,230 : 512,756 = 512,756 : x
  2. Step 2: Convert to fraction form
    235,230/512,756 = 512,756/x
  3. Step 3: Cross multiply
    235,230x = 512,756 × 512,756
  4. Step 4: Simplify right side
    235,230x = 262,918,715,536
  5. Step 5: Solve for x
    x = 262,918,715,536/235,230
  6. Step 6: Final answer
    x = 1,117,709.12

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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.