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Finding the Third Proportional to 231,408 and 481,248

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Solution

The third proportional to 231,408 and 481,248 is: 1,000,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,408 : 481,248 = 481,248 : x
  2. Step 2: Convert to fraction form
    231,408/481,248 = 481,248/x
  3. Step 3: Cross multiply
    231,408x = 481,248 × 481,248
  4. Step 4: Simplify right side
    231,408x = 231,599,637,504
  5. Step 5: Solve for x
    x = 231,599,637,504/231,408
  6. Step 6: Final answer
    x = 1,000,828.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.