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Finding the Third Proportional to 235,204 and 512,708

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Solution

The third proportional to 235,204 and 512,708 is: 1,117,623.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,204 : 512,708 = 512,708 : x
  2. Step 2: Convert to fraction form
    235,204/512,708 = 512,708/x
  3. Step 3: Cross multiply
    235,204x = 512,708 × 512,708
  4. Step 4: Simplify right side
    235,204x = 262,869,493,264
  5. Step 5: Solve for x
    x = 262,869,493,264/235,204
  6. Step 6: Final answer
    x = 1,117,623.40

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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.