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Finding the Third Proportional to 396,495 and 565,218

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Solution

The third proportional to 396,495 and 565,218 is: 805,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,495 : 565,218 = 565,218 : x
  2. Step 2: Convert to fraction form
    396,495/565,218 = 565,218/x
  3. Step 3: Cross multiply
    396,495x = 565,218 × 565,218
  4. Step 4: Simplify right side
    396,495x = 319,471,387,524
  5. Step 5: Solve for x
    x = 319,471,387,524/396,495
  6. Step 6: Final answer
    x = 805,738.75

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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.