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Finding the Third Proportional to 270,831 and 412,006.50

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Solution

The third proportional to 270,831 and 412,006.50 is: 626,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,831 : 412,006.50 = 412,006.50 : x
  2. Step 2: Convert to fraction form
    270,831/412,006.50 = 412,006.50/x
  3. Step 3: Cross multiply
    270,831x = 412,006.50 × 412,006.50
  4. Step 4: Simplify right side
    270,831x = 169,749,356,042.25
  5. Step 5: Solve for x
    x = 169,749,356,042.25/270,831
  6. Step 6: Final answer
    x = 626,772.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.