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Finding the Third Proportional to 266,799 and 406,975.50

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Solution

The third proportional to 266,799 and 406,975.50 is: 620,800.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,799 : 406,975.50 = 406,975.50 : x
  2. Step 2: Convert to fraction form
    266,799/406,975.50 = 406,975.50/x
  3. Step 3: Cross multiply
    266,799x = 406,975.50 × 406,975.50
  4. Step 4: Simplify right side
    266,799x = 165,629,057,600.25
  5. Step 5: Solve for x
    x = 165,629,057,600.25/266,799
  6. Step 6: Final answer
    x = 620,800.89

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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.