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Finding the Third Proportional to 410,162.06 and 641,957.91

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Solution

The third proportional to 410,162.06 and 641,957.91 is: 1,004,749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,162.06 : 641,957.91 = 641,957.91 : x
  2. Step 2: Convert to fraction form
    410,162.06/641,957.91 = 641,957.91/x
  3. Step 3: Cross multiply
    410,162.06x = 641,957.91 × 641,957.91
  4. Step 4: Simplify right side
    410,162.06x = 412,109,953,396.88
  5. Step 5: Solve for x
    x = 412,109,953,396.88/410,162.06
  6. Step 6: Final answer
    x = 1,004,749.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.