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Finding the Third Proportional to 266,603 and 408,813

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Solution

The third proportional to 266,603 and 408,813 is: 626,879.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,603 : 408,813 = 408,813 : x
  2. Step 2: Convert to fraction form
    266,603/408,813 = 408,813/x
  3. Step 3: Cross multiply
    266,603x = 408,813 × 408,813
  4. Step 4: Simplify right side
    266,603x = 167,128,068,969
  5. Step 5: Solve for x
    x = 167,128,068,969/266,603
  6. Step 6: Final answer
    x = 626,879.93

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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.