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Finding the Third Proportional to 396,146 and 594,304

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Solution

The third proportional to 396,146 and 594,304 is: 891,583.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,146 : 594,304 = 594,304 : x
  2. Step 2: Convert to fraction form
    396,146/594,304 = 594,304/x
  3. Step 3: Cross multiply
    396,146x = 594,304 × 594,304
  4. Step 4: Simplify right side
    396,146x = 353,197,244,416
  5. Step 5: Solve for x
    x = 353,197,244,416/396,146
  6. Step 6: Final answer
    x = 891,583.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.