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Finding the Third Proportional to 244,596 and 378,048

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Solution

The third proportional to 244,596 and 378,048 is: 584,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,596 : 378,048 = 378,048 : x
  2. Step 2: Convert to fraction form
    244,596/378,048 = 378,048/x
  3. Step 3: Cross multiply
    244,596x = 378,048 × 378,048
  4. Step 4: Simplify right side
    244,596x = 142,920,290,304
  5. Step 5: Solve for x
    x = 142,920,290,304/244,596
  6. Step 6: Final answer
    x = 584,311.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.