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Finding the Third Proportional to 270,199.75 and 580,466

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Solution

The third proportional to 270,199.75 and 580,466 is: 1,247,006.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,199.75 : 580,466 = 580,466 : x
  2. Step 2: Convert to fraction form
    270,199.75/580,466 = 580,466/x
  3. Step 3: Cross multiply
    270,199.75x = 580,466 × 580,466
  4. Step 4: Simplify right side
    270,199.75x = 336,940,777,156
  5. Step 5: Solve for x
    x = 336,940,777,156/270,199.75
  6. Step 6: Final answer
    x = 1,247,006.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.