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Finding the Third Proportional to 262,596.94 and 405,556.88

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Solution

The third proportional to 262,596.94 and 405,556.88 is: 626,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,596.94 : 405,556.88 = 405,556.88 : x
  2. Step 2: Convert to fraction form
    262,596.94/405,556.88 = 405,556.88/x
  3. Step 3: Cross multiply
    262,596.94x = 405,556.88 × 405,556.88
  4. Step 4: Simplify right side
    262,596.94x = 164,476,378,859.77
  5. Step 5: Solve for x
    x = 164,476,378,859.77/262,596.94
  6. Step 6: Final answer
    x = 626,345.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.