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Finding the Third Proportional to 262,348.88 and 405,118.97

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Solution

The third proportional to 262,348.88 and 405,118.97 is: 625,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,348.88 : 405,118.97 = 405,118.97 : x
  2. Step 2: Convert to fraction form
    262,348.88/405,118.97 = 405,118.97/x
  3. Step 3: Cross multiply
    262,348.88x = 405,118.97 × 405,118.97
  4. Step 4: Simplify right side
    262,348.88x = 164,121,378,841.06
  5. Step 5: Solve for x
    x = 164,121,378,841.06/262,348.88
  6. Step 6: Final answer
    x = 625,584.46

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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.