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Finding the Third Proportional to 473.06 and 522.56

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Solution

The third proportional to 473.06 and 522.56 is: 577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473.06 : 522.56 = 522.56 : x
  2. Step 2: Convert to fraction form
    473.06/522.56 = 522.56/x
  3. Step 3: Cross multiply
    473.06x = 522.56 × 522.56
  4. Step 4: Simplify right side
    473.06x = 273,071.57
  5. Step 5: Solve for x
    x = 273,071.57/473.06
  6. Step 6: Final answer
    x = 577.24

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.