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Finding the Third Proportional to 266,775 and 406,937.25

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Solution

The third proportional to 266,775 and 406,937.25 is: 620,740.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,775 : 406,937.25 = 406,937.25 : x
  2. Step 2: Convert to fraction form
    266,775/406,937.25 = 406,937.25/x
  3. Step 3: Cross multiply
    266,775x = 406,937.25 × 406,937.25
  4. Step 4: Simplify right side
    266,775x = 165,597,925,437.56
  5. Step 5: Solve for x
    x = 165,597,925,437.56/266,775
  6. Step 6: Final answer
    x = 620,740.04

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.