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Finding the Third Proportional to 272,040 and 589,272

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Solution

The third proportional to 272,040 and 589,272 is: 1,276,435.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,040 : 589,272 = 589,272 : x
  2. Step 2: Convert to fraction form
    272,040/589,272 = 589,272/x
  3. Step 3: Cross multiply
    272,040x = 589,272 × 589,272
  4. Step 4: Simplify right side
    272,040x = 347,241,489,984
  5. Step 5: Solve for x
    x = 347,241,489,984/272,040
  6. Step 6: Final answer
    x = 1,276,435.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.