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Finding the Third Proportional to 232,271 and 474,388

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Solution

The third proportional to 232,271 and 474,388 is: 968,885.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,271 : 474,388 = 474,388 : x
  2. Step 2: Convert to fraction form
    232,271/474,388 = 474,388/x
  3. Step 3: Cross multiply
    232,271x = 474,388 × 474,388
  4. Step 4: Simplify right side
    232,271x = 225,043,974,544
  5. Step 5: Solve for x
    x = 225,043,974,544/232,271
  6. Step 6: Final answer
    x = 968,885.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.