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Finding the Third Proportional to 230,084 and 471,318

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Solution

The third proportional to 230,084 and 471,318 is: 965,476.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,084 : 471,318 = 471,318 : x
  2. Step 2: Convert to fraction form
    230,084/471,318 = 471,318/x
  3. Step 3: Cross multiply
    230,084x = 471,318 × 471,318
  4. Step 4: Simplify right side
    230,084x = 222,140,657,124
  5. Step 5: Solve for x
    x = 222,140,657,124/230,084
  6. Step 6: Final answer
    x = 965,476.34

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.