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Finding the Third Proportional to 461.75 and 522.50

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Solution

The third proportional to 461.75 and 522.50 is: 591.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.75 : 522.50 = 522.50 : x
  2. Step 2: Convert to fraction form
    461.75/522.50 = 522.50/x
  3. Step 3: Cross multiply
    461.75x = 522.50 × 522.50
  4. Step 4: Simplify right side
    461.75x = 273,006.25
  5. Step 5: Solve for x
    x = 273,006.25/461.75
  6. Step 6: Final answer
    x = 591.24

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.