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Finding the Third Proportional to 275,994 and 404,901

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Solution

The third proportional to 275,994 and 404,901 is: 594,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,994 : 404,901 = 404,901 : x
  2. Step 2: Convert to fraction form
    275,994/404,901 = 404,901/x
  3. Step 3: Cross multiply
    275,994x = 404,901 × 404,901
  4. Step 4: Simplify right side
    275,994x = 163,944,819,801
  5. Step 5: Solve for x
    x = 163,944,819,801/275,994
  6. Step 6: Final answer
    x = 594,015.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.