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Finding the Third Proportional to 254,908 and 404,860

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Solution

The third proportional to 254,908 and 404,860 is: 643,022.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,908 : 404,860 = 404,860 : x
  2. Step 2: Convert to fraction form
    254,908/404,860 = 404,860/x
  3. Step 3: Cross multiply
    254,908x = 404,860 × 404,860
  4. Step 4: Simplify right side
    254,908x = 163,911,619,600
  5. Step 5: Solve for x
    x = 163,911,619,600/254,908
  6. Step 6: Final answer
    x = 643,022.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.