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Finding the Third Proportional to 297,724 and 404,288

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Solution

The third proportional to 297,724 and 404,288 is: 548,994.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,724 : 404,288 = 404,288 : x
  2. Step 2: Convert to fraction form
    297,724/404,288 = 404,288/x
  3. Step 3: Cross multiply
    297,724x = 404,288 × 404,288
  4. Step 4: Simplify right side
    297,724x = 163,448,786,944
  5. Step 5: Solve for x
    x = 163,448,786,944/297,724
  6. Step 6: Final answer
    x = 548,994.33

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.