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Finding the Third Proportional to 272,920 and 590,228

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Solution

The third proportional to 272,920 and 590,228 is: 1,276,451.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,920 : 590,228 = 590,228 : x
  2. Step 2: Convert to fraction form
    272,920/590,228 = 590,228/x
  3. Step 3: Cross multiply
    272,920x = 590,228 × 590,228
  4. Step 4: Simplify right side
    272,920x = 348,369,091,984
  5. Step 5: Solve for x
    x = 348,369,091,984/272,920
  6. Step 6: Final answer
    x = 1,276,451.31

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