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Finding the Third Proportional to 272,650.50 and 580,293

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Solution

The third proportional to 272,650.50 and 580,293 is: 1,235,060.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,650.50 : 580,293 = 580,293 : x
  2. Step 2: Convert to fraction form
    272,650.50/580,293 = 580,293/x
  3. Step 3: Cross multiply
    272,650.50x = 580,293 × 580,293
  4. Step 4: Simplify right side
    272,650.50x = 336,739,965,849
  5. Step 5: Solve for x
    x = 336,739,965,849/272,650.50
  6. Step 6: Final answer
    x = 1,235,060.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.