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Finding the Third Proportional to 272,975 and 590,662

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Solution

The third proportional to 272,975 and 590,662 is: 1,278,071.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,975 : 590,662 = 590,662 : x
  2. Step 2: Convert to fraction form
    272,975/590,662 = 590,662/x
  3. Step 3: Cross multiply
    272,975x = 590,662 × 590,662
  4. Step 4: Simplify right side
    272,975x = 348,881,598,244
  5. Step 5: Solve for x
    x = 348,881,598,244/272,975
  6. Step 6: Final answer
    x = 1,278,071.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.