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Finding the Third Proportional to 266,274 and 579,567

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Solution

The third proportional to 266,274 and 579,567 is: 1,261,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,274 : 579,567 = 579,567 : x
  2. Step 2: Convert to fraction form
    266,274/579,567 = 579,567/x
  3. Step 3: Cross multiply
    266,274x = 579,567 × 579,567
  4. Step 4: Simplify right side
    266,274x = 335,897,907,489
  5. Step 5: Solve for x
    x = 335,897,907,489/266,274
  6. Step 6: Final answer
    x = 1,261,474.67

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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.