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Finding the Third Proportional to 266,797 and 406,972.50

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Solution

The third proportional to 266,797 and 406,972.50 is: 620,796.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,797 : 406,972.50 = 406,972.50 : x
  2. Step 2: Convert to fraction form
    266,797/406,972.50 = 406,972.50/x
  3. Step 3: Cross multiply
    266,797x = 406,972.50 × 406,972.50
  4. Step 4: Simplify right side
    266,797x = 165,626,615,756.25
  5. Step 5: Solve for x
    x = 165,626,615,756.25/266,797
  6. Step 6: Final answer
    x = 620,796.39

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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.