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Finding the Third Proportional to 246,004 and 532,811

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Solution

The third proportional to 246,004 and 532,811 is: 1,153,995.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,004 : 532,811 = 532,811 : x
  2. Step 2: Convert to fraction form
    246,004/532,811 = 532,811/x
  3. Step 3: Cross multiply
    246,004x = 532,811 × 532,811
  4. Step 4: Simplify right side
    246,004x = 283,887,561,721
  5. Step 5: Solve for x
    x = 283,887,561,721/246,004
  6. Step 6: Final answer
    x = 1,153,995.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.