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Finding the Third Proportional to 238,304.50 and 496,211

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Solution

The third proportional to 238,304.50 and 496,211 is: 1,033,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,304.50 : 496,211 = 496,211 : x
  2. Step 2: Convert to fraction form
    238,304.50/496,211 = 496,211/x
  3. Step 3: Cross multiply
    238,304.50x = 496,211 × 496,211
  4. Step 4: Simplify right side
    238,304.50x = 246,225,356,521
  5. Step 5: Solve for x
    x = 246,225,356,521/238,304.50
  6. Step 6: Final answer
    x = 1,033,238.38

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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.