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Finding the Third Proportional to 264,830 and 543,612

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Solution

The third proportional to 264,830 and 543,612 is: 1,115,863.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,830 : 543,612 = 543,612 : x
  2. Step 2: Convert to fraction form
    264,830/543,612 = 543,612/x
  3. Step 3: Cross multiply
    264,830x = 543,612 × 543,612
  4. Step 4: Simplify right side
    264,830x = 295,514,006,544
  5. Step 5: Solve for x
    x = 295,514,006,544/264,830
  6. Step 6: Final answer
    x = 1,115,863.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.