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Finding the Third Proportional to 501 and 521.25

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Solution

The third proportional to 501 and 521.25 is: 542.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    501 : 521.25 = 521.25 : x
  2. Step 2: Convert to fraction form
    501/521.25 = 521.25/x
  3. Step 3: Cross multiply
    501x = 521.25 × 521.25
  4. Step 4: Simplify right side
    501x = 271,701.56
  5. Step 5: Solve for x
    x = 271,701.56/501
  6. Step 6: Final answer
    x = 542.32

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.