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Finding the Third Proportional to 266,069 and 544,567

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Solution

The third proportional to 266,069 and 544,567 is: 1,114,572.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,069 : 544,567 = 544,567 : x
  2. Step 2: Convert to fraction form
    266,069/544,567 = 544,567/x
  3. Step 3: Cross multiply
    266,069x = 544,567 × 544,567
  4. Step 4: Simplify right side
    266,069x = 296,553,217,489
  5. Step 5: Solve for x
    x = 296,553,217,489/266,069
  6. Step 6: Final answer
    x = 1,114,572.60

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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.