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Finding the Third Proportional to 299,248 and 476,392.75

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Solution

The third proportional to 299,248 and 476,392.75 is: 758,401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,248 : 476,392.75 = 476,392.75 : x
  2. Step 2: Convert to fraction form
    299,248/476,392.75 = 476,392.75/x
  3. Step 3: Cross multiply
    299,248x = 476,392.75 × 476,392.75
  4. Step 4: Simplify right side
    299,248x = 226,950,052,252.56
  5. Step 5: Solve for x
    x = 226,950,052,252.56/299,248
  6. Step 6: Final answer
    x = 758,401.23

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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.