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Finding the Third Proportional to 266,904 and 587,283.75

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Solution

The third proportional to 266,904 and 587,283.75 is: 1,292,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,904 : 587,283.75 = 587,283.75 : x
  2. Step 2: Convert to fraction form
    266,904/587,283.75 = 587,283.75/x
  3. Step 3: Cross multiply
    266,904x = 587,283.75 × 587,283.75
  4. Step 4: Simplify right side
    266,904x = 344,902,203,014.06
  5. Step 5: Solve for x
    x = 344,902,203,014.06/266,904
  6. Step 6: Final answer
    x = 1,292,233.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.