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Finding the Third Proportional to 266,595 and 569,910

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Solution

The third proportional to 266,595 and 569,910 is: 1,218,317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,595 : 569,910 = 569,910 : x
  2. Step 2: Convert to fraction form
    266,595/569,910 = 569,910/x
  3. Step 3: Cross multiply
    266,595x = 569,910 × 569,910
  4. Step 4: Simplify right side
    266,595x = 324,797,408,100
  5. Step 5: Solve for x
    x = 324,797,408,100/266,595
  6. Step 6: Final answer
    x = 1,218,317.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.