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Finding the Third Proportional to 266,776 and 406,838

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Solution

The third proportional to 266,776 and 406,838 is: 620,434.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,776 : 406,838 = 406,838 : x
  2. Step 2: Convert to fraction form
    266,776/406,838 = 406,838/x
  3. Step 3: Cross multiply
    266,776x = 406,838 × 406,838
  4. Step 4: Simplify right side
    266,776x = 165,517,158,244
  5. Step 5: Solve for x
    x = 165,517,158,244/266,776
  6. Step 6: Final answer
    x = 620,434.97

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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.