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Finding the Third Proportional to 396,504 and 565,230

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Solution

The third proportional to 396,504 and 565,230 is: 805,754.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,504 : 565,230 = 565,230 : x
  2. Step 2: Convert to fraction form
    396,504/565,230 = 565,230/x
  3. Step 3: Cross multiply
    396,504x = 565,230 × 565,230
  4. Step 4: Simplify right side
    396,504x = 319,484,952,900
  5. Step 5: Solve for x
    x = 319,484,952,900/396,504
  6. Step 6: Final answer
    x = 805,754.68

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.