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Finding the Third Proportional to 238,467 and 505,364

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Solution

The third proportional to 238,467 and 505,364 is: 1,070,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,467 : 505,364 = 505,364 : x
  2. Step 2: Convert to fraction form
    238,467/505,364 = 505,364/x
  3. Step 3: Cross multiply
    238,467x = 505,364 × 505,364
  4. Step 4: Simplify right side
    238,467x = 255,392,772,496
  5. Step 5: Solve for x
    x = 255,392,772,496/238,467
  6. Step 6: Final answer
    x = 1,070,977.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.