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Finding the Third Proportional to 266,538 and 572,600

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Solution

The third proportional to 266,538 and 572,600 is: 1,230,108.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,538 : 572,600 = 572,600 : x
  2. Step 2: Convert to fraction form
    266,538/572,600 = 572,600/x
  3. Step 3: Cross multiply
    266,538x = 572,600 × 572,600
  4. Step 4: Simplify right side
    266,538x = 327,870,760,000
  5. Step 5: Solve for x
    x = 327,870,760,000/266,538
  6. Step 6: Final answer
    x = 1,230,108.88

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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.