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Finding the Third Proportional to 254,934 and 404,899

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Solution

The third proportional to 254,934 and 404,899 is: 643,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,934 : 404,899 = 404,899 : x
  2. Step 2: Convert to fraction form
    254,934/404,899 = 404,899/x
  3. Step 3: Cross multiply
    254,934x = 404,899 × 404,899
  4. Step 4: Simplify right side
    254,934x = 163,943,200,201
  5. Step 5: Solve for x
    x = 163,943,200,201/254,934
  6. Step 6: Final answer
    x = 643,080.96

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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.