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Finding the Third Proportional to 272,456 and 582,160

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Solution

The third proportional to 272,456 and 582,160 is: 1,243,908.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,456 : 582,160 = 582,160 : x
  2. Step 2: Convert to fraction form
    272,456/582,160 = 582,160/x
  3. Step 3: Cross multiply
    272,456x = 582,160 × 582,160
  4. Step 4: Simplify right side
    272,456x = 338,910,265,600
  5. Step 5: Solve for x
    x = 338,910,265,600/272,456
  6. Step 6: Final answer
    x = 1,243,908.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.