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Finding the Third Proportional to 522 and 579

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Solution

The third proportional to 522 and 579 is: 642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    522 : 579 = 579 : x
  2. Step 2: Convert to fraction form
    522/579 = 579/x
  3. Step 3: Cross multiply
    522x = 579 × 579
  4. Step 4: Simplify right side
    522x = 335,241
  5. Step 5: Solve for x
    x = 335,241/522
  6. Step 6: Final answer
    x = 642.22

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.