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Finding the Third Proportional to 471 and 527

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Solution

The third proportional to 471 and 527 is: 589.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471 : 527 = 527 : x
  2. Step 2: Convert to fraction form
    471/527 = 527/x
  3. Step 3: Cross multiply
    471x = 527 × 527
  4. Step 4: Simplify right side
    471x = 277,729
  5. Step 5: Solve for x
    x = 277,729/471
  6. Step 6: Final answer
    x = 589.66

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.