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Finding the Third Proportional to 396,594 and 565,353

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Solution

The third proportional to 396,594 and 565,353 is: 805,922.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,594 : 565,353 = 565,353 : x
  2. Step 2: Convert to fraction form
    396,594/565,353 = 565,353/x
  3. Step 3: Cross multiply
    396,594x = 565,353 × 565,353
  4. Step 4: Simplify right side
    396,594x = 319,624,014,609
  5. Step 5: Solve for x
    x = 319,624,014,609/396,594
  6. Step 6: Final answer
    x = 805,922.47

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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.