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Finding the Third Proportional to 272,042 and 589,276

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Solution

The third proportional to 272,042 and 589,276 is: 1,276,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,042 : 589,276 = 589,276 : x
  2. Step 2: Convert to fraction form
    272,042/589,276 = 589,276/x
  3. Step 3: Cross multiply
    272,042x = 589,276 × 589,276
  4. Step 4: Simplify right side
    272,042x = 347,246,204,176
  5. Step 5: Solve for x
    x = 347,246,204,176/272,042
  6. Step 6: Final answer
    x = 1,276,443.36

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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.