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Finding the Third Proportional to 229,322 and 476,068

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Solution

The third proportional to 229,322 and 476,068 is: 988,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,322 : 476,068 = 476,068 : x
  2. Step 2: Convert to fraction form
    229,322/476,068 = 476,068/x
  3. Step 3: Cross multiply
    229,322x = 476,068 × 476,068
  4. Step 4: Simplify right side
    229,322x = 226,640,740,624
  5. Step 5: Solve for x
    x = 226,640,740,624/229,322
  6. Step 6: Final answer
    x = 988,307.88

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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.