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Finding the Third Proportional to 266,504 and 572,536

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Solution

The third proportional to 266,504 and 572,536 is: 1,229,990.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,504 : 572,536 = 572,536 : x
  2. Step 2: Convert to fraction form
    266,504/572,536 = 572,536/x
  3. Step 3: Cross multiply
    266,504x = 572,536 × 572,536
  4. Step 4: Simplify right side
    266,504x = 327,797,471,296
  5. Step 5: Solve for x
    x = 327,797,471,296/266,504
  6. Step 6: Final answer
    x = 1,229,990.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.