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Finding the Third Proportional to 522.75 and 587.63

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Solution

The third proportional to 522.75 and 587.63 is: 660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.75 : 587.63 = 587.63 : x
  2. Step 2: Convert to fraction form
    522.75/587.63 = 587.63/x
  3. Step 3: Cross multiply
    522.75x = 587.63 × 587.63
  4. Step 4: Simplify right side
    522.75x = 345,303.14
  5. Step 5: Solve for x
    x = 345,303.14/522.75
  6. Step 6: Final answer
    x = 660.55

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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.