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Finding the Third Proportional to 273,048 and 427,408

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Solution

The third proportional to 273,048 and 427,408 is: 669,031.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,048 : 427,408 = 427,408 : x
  2. Step 2: Convert to fraction form
    273,048/427,408 = 427,408/x
  3. Step 3: Cross multiply
    273,048x = 427,408 × 427,408
  4. Step 4: Simplify right side
    273,048x = 182,677,598,464
  5. Step 5: Solve for x
    x = 182,677,598,464/273,048
  6. Step 6: Final answer
    x = 669,031.08

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.