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Finding the Third Proportional to 486.56 and 549.56

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Solution

The third proportional to 486.56 and 549.56 is: 620.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.56 : 549.56 = 549.56 : x
  2. Step 2: Convert to fraction form
    486.56/549.56 = 549.56/x
  3. Step 3: Cross multiply
    486.56x = 549.56 × 549.56
  4. Step 4: Simplify right side
    486.56x = 302,018.94
  5. Step 5: Solve for x
    x = 302,018.94/486.56
  6. Step 6: Final answer
    x = 620.72

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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.