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Finding the Third Proportional to 396,592 and 565,356

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Solution

The third proportional to 396,592 and 565,356 is: 805,935.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,592 : 565,356 = 565,356 : x
  2. Step 2: Convert to fraction form
    396,592/565,356 = 565,356/x
  3. Step 3: Cross multiply
    396,592x = 565,356 × 565,356
  4. Step 4: Simplify right side
    396,592x = 319,627,406,736
  5. Step 5: Solve for x
    x = 319,627,406,736/396,592
  6. Step 6: Final answer
    x = 805,935.08

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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.