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Finding the Third Proportional to 277,421 and 419,048

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Solution

The third proportional to 277,421 and 419,048 is: 632,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,421 : 419,048 = 419,048 : x
  2. Step 2: Convert to fraction form
    277,421/419,048 = 419,048/x
  3. Step 3: Cross multiply
    277,421x = 419,048 × 419,048
  4. Step 4: Simplify right side
    277,421x = 175,601,226,304
  5. Step 5: Solve for x
    x = 175,601,226,304/277,421
  6. Step 6: Final answer
    x = 632,977.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.